Journal articles: 'Sufficient condition idea'

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HANČL, JAROSLAV, and ONDŘEJ KOLOUCH. "ERDŐS’ METHOD FOR DETERMINING THE IRRATIONALITY OF PRODUCTS." Bulletin of the Australian Mathematical Society 84, no. 3 (July 13, 2011): 414–24. http://dx.doi.org/10.1017/s0004972711002309.

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AbstractThis paper deals with a sufficient condition for the infinite product of rational numbers to be an irrational number. The condition requires only some conditions for convergence and does not use other properties like divisibility. The proof is based on an idea of Erdős.

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Banerjee, Amar Kumar, and Apurba Banerjee. "I-Completeness in Function Spaces." Tatra Mountains Mathematical Publications 74, no. 1 (December 1, 2019): 35–46. http://dx.doi.org/10.2478/tmmp-2019-0017.

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Abstract In this paper, we have studied the idea of ideal completeness of function spaces YX with respect to pointwise uniformity and uniformity of uniform convergence. Further, involving topological structure on X,wehaveobtained relationships between the uniformity of uniform convergence on compacta on YX and uniformity of uniform convergence on Y X in terms of I-Cauchy condition and I-convergence of a net. Also, using the notion of a k-space, we have given a sufficient condition for C(X, Y) to be ideal complete with respect to the uniformity of uniform convergence on compacta.

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Gliklikh, Yuri E., and Lora A. Morozova. "Conditions for global existence of solutions of ordinary differential, stochastic differential, and parabolic equations." International Journal of Mathematics and Mathematical Sciences 2004, no. 17 (2004): 901–12. http://dx.doi.org/10.1155/s016117120430503x.

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First, we prove a necessary and sufficient condition for global in time existence of all solutions of an ordinary differential equation (ODE). It is a condition of one-sided estimate type that is formulated in terms of so-called proper functions on extended phase space. A generalization of this idea to stochastic differential equations (SDE) and parabolic equations (PE) allows us to prove similar necessary and sufficient conditions for global in time existence of solutions of special sorts:L1-complete solutions of SDE (this means that they belong to a certain functional space ofL1type) and the so-called complete Feller evolution families giving solutions of PE. The general case of equations on noncompact smooth manifolds is under consideration.

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Wang-jian, Hong, and Wang Yan-xiang. "Plug and Play Robust Distributed Control with Ellipsoidal Parametric Uncertainty System." Journal of Control Science and Engineering 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/8753657.

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We consider a continuous linear time invariant system with ellipsoidal parametric uncertainty structured into subsystems. Since the design of a local controller uses only information on a subsystem and its neighbours, we combine the plug and play idea and robust distributed control to propose one distributed control strategy for linear system with ellipsoidal parametric uncertainty. Firstly for linear system with ellipsoidal parametric uncertainty, a necessary and sufficient condition for robust state feedback control is proposed by means of linear matrix inequality. If this necessary and sufficient condition is satisfied, this robust state feedback gain matrix can be easily derived to guarantee robust stability and prescribed closed loop performance. Secondly the plug and play idea is introduced in the design process. Finally by one example of aircraft flutter model parameter identification, the efficiency of the proposed control strategy can be easily realized.

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Hussein, Boushra. "New Conditions of The Existence of Fixed Point in Δ- Ordered Δ Banach Algebra." JOURNAL OF ADVANCES IN MATHEMATICS 18 (February 7, 2020): 60–71. http://dx.doi.org/10.24297/jam.v18i.8370.

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The main idea is to construct a new algebra and find new necessary and sufficient conditions equivalent to the existence of a fixed point. In this work, an algebra is constructed, called Δ - ordered Banach algebra, we define convergent in this new space, Topological structure on Δ ordered Banach Algebra and prove this as Hausdorff space. Also, we define new conditions as Δ- lipshtiz,, Δ- contraction contraction , in this algebra construct, we prove this condition is the existence and uniqueness results of the fixed point. In this paper, we prove a common fixed point if the self-functions satisfy the new condition which is called Ф-contraction.

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Yin, Ming, and Malay Ghosh. "A Note on the Probability Difference Between Matching Priors Based on Posterior Quantiles and on Inversion of Conditional Likelihood Ratio Statistics." Calcutta Statistical Association Bulletin 47, no. 1-2 (March 1997): 59–66. http://dx.doi.org/10.1177/0008068319970105.

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A necessary and sufficient condition is given so that the second order probability matching priors based on posterior quantiles will be the priors under which the Bayesian and frequentist Bartlett corrected conditional likelihood ratio statistics differ by 0(l). Several examples are given to illustrate the idea.

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Estrin, Ron, and Michael P. Friedlander. "A perturbation view of level-set methods for convex optimization." Optimization Letters 14, no. 8 (June 12, 2020): 1989–2006. http://dx.doi.org/10.1007/s11590-020-01609-9.

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Abstract Level-set methods for convex optimization are predicated on the idea that certain problems can be parameterized so that their solutions can be recovered as the limiting process of a root-finding procedure. This idea emerges time and again across a range of algorithms for convex problems. Here we demonstrate that strong duality is a necessary condition for the level-set approach to succeed. In the absence of strong duality, the level-set method identifies $$\epsilon $$ ϵ -infeasible points that do not converge to a feasible point as $$\epsilon $$ ϵ tends to zero. The level-set approach is also used as a proof technique for establishing sufficient conditions for strong duality that are different from Slater’s constraint qualification.

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Petrache, Mircea. "Cyclically monotone non-optimal N-marginal transport plans and Smirnov-type decompositions for N-flows." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 120. http://dx.doi.org/10.1051/cocv/2020050.

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In the setting of optimal transport with N ≥ 2 marginals, a necessary condition for transport plans to be optimal is that they are c-cyclically monotone. For N = 2 there exist several proofs that in very general settings c-cyclical monotonicity is also sufficient for optimality, while for N ≥ 3 this is only known under strong conditions on c. Here we give a counterexample which shows that c-cylclical monotonicity is in general not sufficient for optimality if N ≥ 3. Comparison with the N = 2 case shows how the main proof strategies valid for the case N = 2 might fail for N ≥ 3. We leave open the question of what is the optimal condition on c under which c-cyclical monotonicity is sufficient for optimality. The new concept of an N-flow seems to be helpful for understanding the counterexample: our construction is based on the absence of finite-support closed N-flows in the set where our counterexample cost c is finite. To follow this idea we formulate a Smirnov-type decomposition for N-flows.

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Ma, Hai Ying, and Ning Cai. "Consensus Analysis of Nonlinear Dynamical Multi-Agent Systems by Relative Lyapunov Function Method." Advanced Materials Research 482-484 (February 2012): 1969–72. http://dx.doi.org/10.4028/www.scientific.net/amr.482-484.1969.

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In this note, condition for consensus of general nonlinear high-order multi-agent systems is analyzed based on the idea of space transformation. Consensus can be assured by sufficient connection of network and the dissipative property of the entire system regulated by relative Lyapunov function, with two independent variables.

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Baluch, Bakhtawar, Zabidin Salleh, Ahmad Alhawarat, and U. A. M. Roslan. "A New Modified Three-Term Conjugate Gradient Method with Sufficient Descent Property and Its Global Convergence." Journal of Mathematics 2017 (2017): 1–12. http://dx.doi.org/10.1155/2017/2715854.

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A new modified three-term conjugate gradient (CG) method is shown for solving the large scale optimization problems. The idea relates to the famous Polak-Ribière-Polyak (PRP) formula. As the numerator of PRP plays a vital role in numerical result and not having the jamming issue, PRP method is not globally convergent. So, for the new three-term CG method, the idea is to use the PRP numerator and combine it with any good CG formula’s denominator that performs well. The new modification of three-term CG method possesses the sufficient descent condition independent of any line search. The novelty is that by using the Wolfe Powell line search the new modification possesses global convergence properties with convex and nonconvex functions. Numerical computation with the Wolfe Powell line search by using the standard test function of optimization shows the efficiency and robustness of the new modification.

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Rowe, Jonathan E., Michael D. Vose, and Alden H. Wright. "State Aggregation and Population Dynamics in Linear Systems." Artificial Life 11, no. 4 (September 2005): 473–92. http://dx.doi.org/10.1162/106454605774270624.

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We consider complex systems that are composed of many interacting elements, evolving under some dynamics. We are interested in characterizing the ways in which these elements may be grouped into higher-level, macroscopic states in a way that is compatible with those dynamics. Such groupings may then be thought of as naturally emergent properties of the system. We formalize this idea and, in the case that the dynamics are linear, prove necessary and sufficient conditions for this to happen. In cases where there is an underlying symmetry among the components of the system, group theory may be used to provide a strong sufficient condition. These observations are illustrated with some artificial life examples.

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Journal, Baghdad Science. "Stability of Nonlinear Systems of Fractional Order Differential Equations." Baghdad Science Journal 7, no. 4 (December 5, 2010): 1458–61. http://dx.doi.org/10.21123/bsj.7.4.1458-1461.

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In this paper, a sufficient condition for stability of a system of nonlinear multi-fractional order differential equations on a finite time interval with an illustrative example, has been presented to demonstrate our result. Also, an idea to extend our result on such system on an infinite time interval is suggested.

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Zeidan, Vera. "Local Minimality of a Lipschitz Extremal." Canadian Journal of Mathematics 44, no. 2 (April 1, 1992): 436–48. http://dx.doi.org/10.4153/cjm-1992-028-0.

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AbstractIn this paper the question of weak and strong local optimality of a Lipschitz (as opposed to C1 ) extremal is addressed. We show that the classical Jacobi sufficient conditions can be extended to the case of Lipschitz candidates. The key idea for this achievement lies in proving that the “generalized” strengthened Weierstrass condition is equivalent to the existence of a “feedback control” function at which the maximum in the “true” Hamiltonian is attained. Then the Hamilton-Jacobi approach is pursued in order to conclude the result.

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Khan, Muhammad Ghaffar, Bakhtiar Ahmad, Nazar Khan, Wali Khan Mashwani, Sama Arjika, Bilal Khan, and Ronnason Chinram. "Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions." Journal of Function Spaces 2021 (July 27, 2021): 1–9. http://dx.doi.org/10.1155/2021/4343163.

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In this article, we introduce a new subclass of analytic functions utilizing the idea of Mittag-Leffler type Poisson distribution associated with the Janowski functions. Further, we discuss some important geometric properties like necessary and sufficient condition, convex combination, growth and distortion bounds, Fekete-Szegö inequality, and partial sums for this newly defined class.

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Li, Zhipeng, Jinghao Li, and Hejuan Chen. "Experimental Research on Excitation Condition and Performance of Airflow-Induced Acoustic Piezoelectric Generator." Micromachines 11, no. 10 (September 30, 2020): 913. http://dx.doi.org/10.3390/mi11100913.

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This paper aims to present a novel airflow-induced acoustic piezoelectric generator that can be used to solve the problem of insufficient power supply of modern intelligent fuzes. The sound waves induced by airflow are the key to power generation performance. It is proposed that an edge tone frequency equal to the acoustic mode frequency is a sufficient condition for evoked acoustic waves, and a design idea and scheme for a universal fuze power supply is provided. We establish the vibration model of the airflow-induced acoustic piezoelectric generator. According to the model, the experimental research on the power generation performance shows that the sound pressure frequency, vibration displacement frequency, and output voltage frequency are consistent. The model provides a design idea for a vibration sensor. At the flow rate of 100.8 m/s, the output power is 45.3 mW, which is much higher than the fuze power sources such as the magnetic backseat generator. Therefore, the airflow-induced piezoelectric generator can effectively solve the problem of the modern fuze less types of power supply and low output energy.

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Berridge, G. R., and John W. Young. "What is ‘a Great Power’?" Political Studies 36, no. 2 (June 1988): 224–34. http://dx.doi.org/10.1111/j.1467-9248.1988.tb00226.x.

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This article rejects the idea that a great power requires formal recognition or ‘general interests' or an inclination to ‘responsible’ behaviour. Contrary to Martin Wight, it also rejects the view that the demonstration of great military power in war is either a necessary or a sufficient condition of being a great power. It also denies, contrary to William T. R. Fox, that an ability to ‘project’ power worldwide is a necessary condition of being a great power (though it would, of course, be sufficient). On the basis of an investigation of the historical great powers, this article concludes that a great power is one whose reputation for existing or latent military strength may be equalled but not significantly surpassed by that of any other power.

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Aytar, Salih. "A characterization theorem for levelwise statistical convergence." Filomat 25, no. 1 (2011): 133–43. http://dx.doi.org/10.2298/fil1101133a.

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In the present paper, we prove a characterization theorem which gives a necessary and sufficient condition for a sequence of fuzzy numbers to be levelwise statistically convergent in the space of fuzzy numbers. As an application of this theorem we utilize the idea of statistical equi-continuity in order to obtain a condition which guarantees the set of levelwise statistical cluster points of a statistically bounded sequence to be nonempty and a levelwise statistically Cauchy sequence to be levelwise statistically convergent.

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Inskeep, Warren H. "Notizen: On Electromagnetic Spinors and Quantum Theory." Zeitschrift für Naturforschung A 43, no. 7 (July 1, 1988): 695–96. http://dx.doi.org/10.1515/zna-1988-0715.

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Abstract The Maxwell theory is related to the Dirac theory by two heuristic arguments based on electromagnetic spinors. First, given the condition to have spinors, if the free field Maxwell's equations are satisfied, then the spinors satisfy the Weyl equations. Second, a sufficient condition for electromagnetic spinors directly gives the Weyl equations with the usual substitutions for momentum and energy. It is proposed that the heuristic nature of the first argument is related to the idea of a point having a more general symmetry than a sphere.

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Wang, Li Jun. "New Stability Condition for Linear Systems with Time-Varying Delay." Advanced Materials Research 898 (February 2014): 843–46. http://dx.doi.org/10.4028/www.scientific.net/amr.898.843.

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Generally, the obtained results on delayed systems can be classified into two types: delay-independent ones and delay-dependent ones. Delay-dependent stabilization problem for a class linear system with interval time-varying delay is studied. Early first proposed stability analysis method for systems with time-varying delay in a range, but the method therein still leaves much room for improvement. A sufficient condition in terms of linear matrix inequalities (LMIs) is achieved by constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the time delay, and then using free-weighting matrix approach and adopting inequalities, the interval delay is dealt with successfully. Compared with former stability analysis approaches, this approach can overcome the defect of finding a common positive definite matrix, and reduce conservative greatly. Finally, one simulation example is given to illustrate the effectiveness of the methods.

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Seneta, Eugene. "Variants of Karamata’s iteration theorem." Publications de l'Institut Math?matique (Belgrade) 80, no. 94 (2006): 241–51. http://dx.doi.org/10.2298/pim0694241s.

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Karamata?s Iteration Theorem is used to refine the asymptotic behavior of iterates of a function, under a more restrictive assumption than Karamata?s, but still involving regular variation. A second result gives a necessary and sufficient integral condition for convergence of a series of iterates. Historical background to the idea of regularly varying sequence precedes a short concluding section on attribution of a probabilistic result.

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Simon, Arndt. "Superconductivity and the periodic table: from elements to materials." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373, no. 2037 (March 13, 2015): 20140192. http://dx.doi.org/10.1098/rsta.2014.0192.

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Based on the normal-state electronic band structure, the necessary condition for a metal to become a superconductor is the simultaneous occurrence of flat and steep bands at the Fermi level. The sufficient condition at least for conventional superconductors is a strong enough coupling of the flat band states to the lattice, e.g. via phonons. Selected elements (Te) and compounds of the rare earth metals ( RE 2 C 3 , REC 2 , RE 2 X 2 C 2 with X =halogen) and MgB 2 serve as examples to illustrate the idea.

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Cao, Zheng Li, Tian Li, and Ji Ye Zhang. "Mesh Exponential Stability of Look-Ahead Interconnected System." Applied Mechanics and Materials 29-32 (August 2010): 847–50. http://dx.doi.org/10.4028/www.scientific.net/amm.29-32.847.

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Mesh stability is the property of damping or eliminating disturbances as they travel in an interconnected system. In this paper, the mesh stability of a class of look-ahead vehicle following system is studied under the assumption that the all isolated subsystems are exponentially stable. Via idea of vector Lyapunov function theory and by using of Cauchy inequality technique, the sufficient condition to ensure the global mesh exponential stability is obtained. The obtained condition which shows the relationship and domain of the parameters is convenient to apply to design controller in practice.

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Turkyilmazoglu, Mustafa. "Convergent optimal variational iteration method and applications to heat and fluid flow problems." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 3/4 (May 3, 2016): 790–804. http://dx.doi.org/10.1108/hff-09-2015-0353.

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Purpose – In an earlier paper (Turkyilmazoglu, 2011a), the author introduced a new optimal variational iteration method. The idea was to insert a parameter into the classical variational iteration formula in an aim to prevent divergence or to accelerate the slow convergence property of the classical approach. The purpose of this paper is to approve the superiority of the proposed method over the traditional one on several physical problems treated before by the classical variational iteration method. Design/methodology/approach – A sufficient condition theorem with an upper bound for the error is also presented to further justify the convergence of the new variational iteration method. Findings – The optimal variational iteration method is found to be useful for heat and fluid flow problems. Originality/value – The optimal variational iteration method is shown to be convergent under sufficient conditions. A novel approach to obtain the optimal convergence parameter is introduced.

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WANG, PEI, DAMEI LI, XIAOQUN WU, JINHU LÜ, and XINGHUO YU. "ULTIMATE BOUND ESTIMATION OF A CLASS OF HIGH DIMENSIONAL QUADRATIC AUTONOMOUS DYNAMICAL SYSTEMS." International Journal of Bifurcation and Chaos 21, no. 09 (September 2011): 2679–94. http://dx.doi.org/10.1142/s0218127411030027.

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This paper aims to propose a unified approach for the ultimate bound estimation of a class of High Dimensional Quadratic Autonomous Dynamical Systems (HDQADS). Using the proposed method and the optimization idea, a sufficient condition is then given for estimating the ultimate bounds of a class of HDQADS. To validate the above sufficient condition, this paper further investigates the ultimate bound estimation of a hyperchaotic system, a 6D and a 9D chaotic system, separately. Moreover, the ultimate bounds for a general Lorenz system, a low-order atmospheric circulation model, and a new 3D chaotic system are also discussed in detail. In particular, it should be pointed out that a unified and accurate ultimate bound estimation is attained for the generalized Lorenz system and it includes several well-known results as its special cases. Some numerical simulations are also given to verify and visualize the corresponding theoretical results.

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Sprodowski, Tobias, and Jürgen Pannek. "Analytical Aspects of Distributed MPC Based on an Occupancy Grid for Mobile Robots." Applied Sciences 10, no. 3 (February 4, 2020): 1007. http://dx.doi.org/10.3390/app10031007.

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In this paper, we evaluate theoretical aspects of a distributed system of noncooperative robots controlled by a distributed model predictive control scheme, which operates in a shared space. Here, for collision avoidance, the future predicted state trajectories are projected on a grid and exchanged via discrete cell indexes to reduce the communication burden. The predicted trajectories are obtained locally by each robot and carried out in the continuous space. Therefore, the quantisation does not impose the quality of the solution. We derive sufficient conditions to show convergence and practical stability for the distributed control system by using an idea of a temporary roundabout derived from crossing patterns of street traffic rules, which is established in a fixed and flexible circle size. Furthermore, a condition for the sufficient prediction horizon length to recognise necessary detours is presented, which is adapted for the occupancy grid. The theoretical results match with the trajectory patterns from former numerical simulations, showing that this pattern is naturally chosen as an overall solution.

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Reiter, Aviv, and Ido Geiger. "Natural Beauty, Fine Art and the Relation between Them." Kant-Studien 109, no. 1 (March 8, 2018): 72–100. http://dx.doi.org/10.1515/kant-2018-0002.

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Abstract: We defend three principal claims concerning natural beauty, artistic beauty and the relation between them. 1) Aesthetic pleasure in nature is typically and paradigmatically occasioned by the spatial form of natural kinds. 2) Breaking with a long-standing tradition, Kant claims that the presentation of such beautiful natural forms is not the end of the representational visual arts. Most art presents aesthetically the idea of humanity in our person. This is Kant’s Copernican revolution in the philosophy of fine art. 3) Although the representation of nature is not a sufficient condition of beauty in the representational visual arts, it is nonetheless a necessary condition of it.

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Cui, Kaiyan, Zhanjie Song, and Ningning Han. "Fast Thresholding Algorithms with Feedbacks and Partially Known Support for Compressed Sensing." Asia-Pacific Journal of Operational Research 37, no. 03 (May 4, 2020): 2050013. http://dx.doi.org/10.1142/s021759592050013x.

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Some works in modified compressive sensing (CS) show that reconstruction of sparse signals can obtain better results than traditional CS using the partially known support. In this paper, we extend the idea of these works to the null space tuning algorithm with hard thresholding, feedbacks ([Formula: see text]) and derive sufficient conditions for robust sparse signal recovery. The theoretical analysis shows that including prior information of partially known support relaxes the preconditioned restricted isometry property condition comparing with the [Formula: see text]. Numerical experiments demonstrate that the modification improves the performance of the NST+HT+FB, thereby requiring fewer samples to obtain an approximate reconstruction. Meanwhile, a systemic comparison with different methods based on partially known support is shown.

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QIU, JIQING, ZIRUI XING, LI LI, MOHAN YANG, and YI LI. "ROBUST H∞ FILTERING FOR A CLASS OF NONLINEAR UNCERTAIN SINGULAR SYSTEMS WITH TIME-VARYING DELAY." International Journal of Wavelets, Multiresolution and Information Processing 11, no. 05 (September 2013): 1350035. http://dx.doi.org/10.1142/s0219691313500355.

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This paper focuses on the problem of robust H∞ filtering for a class of nonlinear uncertain singular systems with time-varying delay. First of all, the definition of robust H∞ filter is given. Considering the nonlinear disturbance link to uncertain singular systems with time-varying delay effects, the design idea of full-order robust H∞ filter based on the Lyapunov stability theory is presented. Under the condition that nonlinear uncertain functions satisfy Lipschitz condition, the sufficient condition under which nonlinear uncertain delayed filtering error singular systems are asymptotically stable and satisfy the robust H∞ performance is obtained by Lyapunov stability theory and linear matrix inequality (LMI) methods. Finally, two numerical examples are given to show the applicability of the proposed method.

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Wang, Ting, Tao Li, Mingxiang Xue, and Shumin Fei. "Combined Convex Technique on Delay-Distribution-Dependent Stability for Delayed Neural Networks." Discrete Dynamics in Nature and Society 2012 (2012): 1–20. http://dx.doi.org/10.1155/2012/426350.

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Together with the Lyapunov-Krasovskii functional approach and an improved delay-partitioning idea, one novel sufficient condition is derived to guarantee a class of delayed neural networks to be asymptotically stable in the mean-square sense, in which the probabilistic variable delay and both of delay variation limits can be measured. Through combining the reciprocal convex technique and convex technique one, the criterion is presented via LMIs and its solvability heavily depends on the sizes of both time-delay range and its variations, which can become much less conservative than those present ones by thinning the delay intervals. Finally, it can be demonstrated by four numerical examples that our idea reduces the conservatism more effectively than some earlier reported ones.

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SIXSMITH, D. J. "Dimensions of slowly escaping sets and annular itineraries for exponential functions." Ergodic Theory and Dynamical Systems 36, no. 7 (April 13, 2015): 2273–92. http://dx.doi.org/10.1017/etds.2015.7.

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We study the iteration of functions in the exponential family. We construct a number of sets, consisting of points which escape to infinity ‘slowly’, and which have Hausdorff dimension equal to$1$. We prove these results by using the idea of anannular itinerary. In the case of a general transcendental entire function we show that one of these sets, theuniformly slowly escaping set, has strong dynamical properties and we give a necessary and sufficient condition for this set to be non-empty.

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Hao, Jun Kang, Guo Gang Li, and Lian Qing Su. "Robust H_∞ Control for a Class of Nonlinear Uncertain Singular Systems with Time Delays both in State and Output." Advanced Materials Research 760-762 (September 2013): 1126–30. http://dx.doi.org/10.4028/www.scientific.net/amr.760-762.1126.

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This paper discusses the problem of robust control for a class of nonlinear uncertain singular systems with time delays. Considering the nonlinear disturbance link to uncertain singular systems with time delays effects, the design idea of robust controller is presented. Using Lyapunov stability theory and linear matrix inequality (LMI) method, a robust controller design example of such nonlinear uncertain singular systems with time delays both in state and output is given. Under nonlinear uncertain functions satisfying Lipschitz condition, a sufficient condition of such nonlinear uncertain singular systems which are asymptotically stable and satisfy the robust performance is obtained. Finally, a numerical example is given to show the applicability of the proposed method.

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Horodecki, Michał, Paweł Horodecki, and Ryszard Horodecki. "Separability of Mixed Quantum States: Linear Contractions and Permutation Criteria." Open Systems & Information Dynamics 13, no. 01 (March 2006): 103–11. http://dx.doi.org/10.1007/s11080-006-7271-8.

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Recently, a powerful separability criterion was introduced by O. Rudolf in [5] and by K. Chen et al. in [6] — basing on realignment of elements of density matrix. Composing the main idea behind the above criterion and the necessary and sufficient condition in terms of positive maps, we provide a characterization of separable states by means of linear contractions. The latter need not be positive maps. We extend the idea to multipartite systems, and find that, somewhat suprisingly, partial realigment (unlike partial transposition) can detect genuinely tri-parite entanglement. We generalize it by introducing a family of so called permutation separability criteria for multipartite states. Namely, any permutation of indices of density matrix written in product basis leads to a separability criterion. Partial transpose and realignment criterion are special cases of permutation criteria.

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Аверченков, Андрей, Andrey Averchenkov, Елена Аверченкова, Elena Averchenkova, Федор Лозбинев, and Fedor Lozbinev. "BASIC DIFFICULTIES AND DIRECTIONS OF DEVELOPMENT OF INFORMATION TECHNOLOGIES IN THE RUSSIAN FEDERATION FOR THE MIDDLE AND LONG-TERM PROSPECTS." Automation and modeling in design and management 2019, no. 3 (November 24, 2019): 25–29. http://dx.doi.org/10.30987/article_5d8d113db17c32.68186730.

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New benchmarks of the digital economy require the introduction of new information technologies into the daily practice of public administration. The main legal frameworks of the state development of the digital society in the medium and long term are considered on the example of the National Project “Digital Economy”. It is shown that the provision of a sufficient level of regional government in the conditions of information transformations is possible within the framework of the Federal Project "Digital Public Administration". Training and retraining of personnel in the field of information technologies is the most important condition for the successful implementation of the idea of informatization of Russian society, it is implemented by the measures of the Federal project "Personnel for the digital economy"

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Tutak, Magdalena, Jarosław Brodny, and Małgorzata Dobrowolska. "Assessment of Work Conditions in a Production Enterprise—A Case Study." Sustainability 12, no. 13 (July 3, 2020): 5390. http://dx.doi.org/10.3390/su12135390.

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A commonly used strategy in production enterprises is the idea of sustainable development. For an idea to be effectively implemented, it is essential to have competent and well-informed staff. This condition is necessary, but not sufficient. Still, the introduction of changes in the enterprise—including rational management of resources, as well as fair distribution of benefits and social development—requires acceptance on the part of employees. The implementation of this idea entails the need to introduce organizational changes, new technologies and innovative products. Currently, this direction in development is gradually beginning to determine the competitiveness of an enterprise. The present article discusses the results of a questionnaire survey in one production enterprise; the survey aimed at assessing work conditions. The research results were to show how the current changes related to the idea of sustainable development being implemented in this enterprise are assessed by the employees in the production sector. The obtained results are also to serve as a basis for developing a strategy for introducing further changes in this enterprise. The quantitative research included an evaluation of 24 research variables, which were divided into nine thematic groups relevant to work conditions in the enterprise. The research covered three basic groups of factors: work characteristics, human resource management policies and the social context of work. A global assessment of the enterprise’s performance was also undertaken. The research therefore focused on the practical aspects of the activity carried out by the enterprise. The results obtained should provide a basis for assessing the potential for introducing innovative solutions in line with the idea of sustainable development as well as improvements in human resource management. This basis is also particularly important for implementing such solutions in the enterprise which are in line with changes related to the concept of Industry 4.0.

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Dahl, Johannes M. L., and Paul M. Markowski. "Comment on "Eliminating the major tornado threat in Tornado Alley"." International Journal of Modern Physics B 28, no. 29 (November 20, 2014): 1475004. http://dx.doi.org/10.1142/s0217979214750046.

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The authors draw from half a century of meteorological research to expose flaws in a recent proposal to build 300-m-tall tornado-prevention walls across the U.S. Great Plains. The idea behind the walls is that they would prevent cold and warm air masses from clashing and would therefore suppress tornadoes. The problem with this proposal, however, is that atmospheric fronts ("airmass clashes") are neither a necessary nor a sufficient condition for tornadoes and that the proposed walls would not prevent the formation of fronts in the first place. Additional misconceptions about supercells thunderstorms and tornado formation also are identified.

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Chiang, Yik-Man, and Kit-Wing yu. "On complex oscillation, function-theoretic quantization of non-homogeneous periodic ordinary differential equations and special functions." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 142, no. 3 (June 2012): 449–77. http://dx.doi.org/10.1017/s0308210510000223.

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New necessary and sufficient conditions are given for the quantization of a class of periodic second-order non-homogeneous ordinary differential equations in the complex plane. The problem is studied from the viewpoint of complex oscillation theory first developed in works by Bank and Laine and Gundersen and Steinbart. We show that, when a solution is complex non-oscillatory (finite exponent of convergence of zeros), then the solution, which can be written as special functions, must degenerate. This gives a necessary and sufficient condition when the Lommel function has finitely many zeros in every branch, and this is a type of quantization for the non-homogeneous differential equation. The degenerate solutions are polynomial/rational-type functions, which are of independent interest. In particular, this shows that complex non-oscillatory solutions of this class of differential equations are equivalent to the subnormal solutions considered in a recent paper by Chiang and Yu. In addition to the asymptotics of special functions, the other main idea that we apply in our proof is a classical result by Wright that gives precise asymptotic locations of large zeros of a functional equation.

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El-Sayed, Salah M. "A two-sided iterative method for computing positive definite solutions of a nonlinear matrix equation." ANZIAM Journal 45, no. 1 (July 2003): 145–52. http://dx.doi.org/10.1017/s1446181100013201.

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AbstractIn several recent papers, a one-sided iterative process for computing positive definite solutions of the nonlinear matrix equation X + A* X−1A = Q, where Q is positive definite, has been studied. In this paper, a two-sided iterative process for the same equation is investigated. The novel idea here is that the two sequences obtained by starting at two different values provide (a) an interval in which the solution is located, that is, Xk ≤ X ≤ Yk for all k and (b) a better stopping criterion. Some properties of solutions are discussed. Sufficient solvability conditions on a matrix A are derived. Moreover, when the matrix A is normal and satisfies an additional condition, the matrix equation has smallest and largest positive definite solutions. Finally, some numerical examples are given to illustrate the effectiveness of the algorithm.

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Xing, Shuang Yun, Xin Jing, and Yang Cao. "Dissipative Control of Singular Systems by Proportional Plus Derivative State Feedback." Applied Mechanics and Materials 246-247 (December 2012): 826–31. http://dx.doi.org/10.4028/www.scientific.net/amm.246-247.826.

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This article deals with the problem of dissipative control synthesis for a class of descriptor systems with uncertainties in the derivative matrix. Attention is focused on the design of a proportional plus derivative (PD) state feedback, which guarantees that the closed-loop system is robustly stable and strict dissipative. Firstly, a sufficient condition for the closed-loop system is robustly stable and strict dissipative is presented by using a simple idea of changing the problem to the corresponding problem of an augmented uncertain system. Then, a PD controller is constructed by solving LMIs. Finally, a numerical example is given to demonstrate that the proposed method is effective.

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Elhamdadi, Mohamed, Minghui Liu, and Sam Nelson. "Quasi-trivial quandles and biquandles, cocycle enhancements and link-homotopy of pretzel links." Journal of Knot Theory and Its Ramifications 27, no. 11 (October 2018): 1843007. http://dx.doi.org/10.1142/s0218216518430071.

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We investigate some algebraic structures called quasi-trivial quandles and we use them to study link-homotopy of pretzel links. Precisely, a necessary and sufficient condition for a pretzel link with at least two components being trivial under link-homotopy is given. We also generalize the quasi-trivial quandle idea to the case of biquandles and consider enhancement of the quasi-trivial biquandle cocycle counting invariant by quasi-trivial biquandle cocycles, obtaining invariants of link-homotopy type of links analogous to the quasi-trivial quandle cocycle invariants in Inoue’s paper [A. Inoue, Quasi-triviality of quandles for link-homotopy, J. Knot Theory Ramifications 22(6) (2013) 1350026, doi:10.1142/S0218216513500260, MR3070837].

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Xia, Hongwei, Pingping Zhao, Li Li, Aiguo Wu, and Guangcheng Ma. "A Novel Approach toH∞Control Design for Linear Neutral Time-Delay Systems." Mathematical Problems in Engineering 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/526017.

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This paper is concerned with the problem ofH∞control of linear neutral systems with time-varying delay. Firstly, by applying a novel Lyapunov-Krasovskii functional which is constructed with the idea of delay partitioning approach, appropriate free-weighting matrices, an improved delay-dependent bounded real lemma (BRL) for neutral systems is established. By using the obtained BRL, a delay-dependent sufficient condition for the existence of a state-feedback controller, which ensures asymptotic stability and a prescribedH∞performance level of the corresponding closed-loop system, is formulated in terms of linear matrix inequalities. Some numerical examples are given to illustrate the effectiveness of the proposed design method.

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Xu, Xiaohui, Huanbin Xue, Yiqiang Peng, and Jiye Zhang. "Robust Exponential Stability Analysis of Switched Neural Networks with Interval Parameter Uncertainties and Time Delays." Complexity 2018 (September 23, 2018): 1–16. http://dx.doi.org/10.1155/2018/6318986.

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In this paper, the stability of switched neural networks (SNNs) with interval parameter uncertainties and time delays is investigated. First, the conditions for the existence and uniqueness of the equilibrium point of the system are discussed. Second, the average dwell time approach and M-matrix property are employed to obtain conditions to ensure the globally exponential stability of the delayed SNNs under constrained switching. Third, by resorting to inequality technique and the idea of vector Lyapunov function, sufficient condition to ensure the robust exponential stability of the delayed SNNs under arbitrary switching is derived. The form of the constructed Lyapunov functions is simple, which has certain commonality in studying delayed SNNs, and the proposed results not only are explicit but also reveal the relationship between the constrained switching and the arbitrary switching of the SNNs. Finally, two numerical examples are presented to illustrate the effectiveness and less conservativeness of the main results compared with the existing literature.

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Ezedike, Edward Uzoma. "Morality within the limits of practical reason: a critique of Kant’s concept of moral virtue." International Journal of Ethics and Systems 36, no. 2 (January 2, 2020): 205–16. http://dx.doi.org/10.1108/ijoes-11-2018-0171.

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Purpose The purpose of this paper is to critically evaluate Kant’s idea of grounding morality within the limits of practical reason. Kant argues that morality must be devoid of emotions if the authors must make the right decisions. His idea of morality is basically ratiocentric. This paper, therefore, seeks a justification of Kant’s ratiocentricism, which excludes subjective emotional dimensions in moral actions and judgements. Design/methodology/approach This paper adopts a critical and analytic method of research. It is not empirical research, and hence, does not make use of tables and quantifiable data. The methodology is exclusively qualitative in nature. Findings The major finding of this research work is that an application of practical reason is necessary for the moral agency but it is not a sufficient condition for moral agency. The existential realities demand a synthetic application of reason and emotion in moral issues. So then, a good will is determined by the rational principle. The reason is an organic whole that is capable of functioning both practically and theoretically. The practical reason is not reasoned functioning to acquire knowledge but reason operating as a guide and as the directing force of the will. The application of pure, practical reason and relevant emotional considerations is both necessary and sufficient for moral agency. Originality/value This paper is the outcome of deep critical reflections on Kant’s moral philosophy by the author.

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Callus, Ivan. "… Literaturelessness …" CounterText 5, no. 1 (April 2019): 89–113. http://dx.doi.org/10.3366/count.2019.0152.

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To keep things simple, doubtless simplistic: what would it mean to take literally the term post-literary, which features in CounterText's subtitle? What possible consequence, or conceptual advantage, could there be for literary criticism if it countenanced, even as a thought-experiment and in suppression of the reflex for problematisation of the question, the idea of the condition of being past, or without, literature? The sophistication of literary criticism and theory on anything bearing the prefix post- is well established and has determined various important moves within these discourses. But it could be contended that there might be some edge in an experiment suspending that manner of response in favour, however briefly, of a more artless probing of how and why literature-less conditions – and they do exist – bear scrutiny. Inevitably, there will be some contrivance in the affectation of that artlessness, but this is itself not without point. Accordingly, the article considers some hypothetical and some not so hypothetical situations for a literature-less condition. The assumption is that specifying them, however briefly, can be revealing – and one aspect that emerges is that there are long histories of the condition, sufficient to vindicate reflection on taking the post-literary literally and on what might hang on that.

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Fitzsimons, Sean J., and Eric A. Colhoun. "Form, structure and stability of the margin of the Antarctic ice sheet, Vestfold Hills and Bunger Hills, East Antarctica." Antarctic Science 7, no. 2 (June 1995): 171–79. http://dx.doi.org/10.1017/s095410209500023x.

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Studies of glacier margins have suggested that form and structure can be used to infer mass balance condition and stability. This paper examines this idea by investigating the form and structure of the Antarctic ice sheet at two coastal oases in East Anarctica. Two principal forms of the margin of the ice sheet in the Vestfold and Bunger hills that are discussed are ice cliffs and gently-sloping ice margins with an inner moraine. The form of the ice margins in both areas is primarily related to the accumulation of drift snow and superimposed ice and not to mass balance condition. It is concluded that the form and structure of ice margins are ambiguous indicators of mass balance condition and stability and that a change in mass budget is probably neither a sufficient nor a necessary condition for a change in the morphology of ice margins. Although we argue that the form and structure of the ice margins tells us little about stability, interpretation of the Holocene history and geomorphology of the oases suggests that the ice margins have been stable at least throughout the Holocene and that this condition of overall stability continues today.

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Rao Kadham, Nithin, and Sreenivasa Ravi.K. "A Lightweight One Time Password (OTP) Based Smart Learning in Internet of Things." International Journal of Engineering & Technology 7, no. 2.7 (March 18, 2018): 480. http://dx.doi.org/10.14419/ijet.v7i2.7.10867.

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The Internet of Things is another worldview that is changing processing. It is expected that all items around us are associated with the system, giving "whenever, anyplace" access to data. This idea is making progress, because of advances in nanotechnology which permits the making of gadgets fit for interfacing with the Internet productively. Presently a day countless are associated with the web, running from cell phones to machines. In this paper we concentrate on the instruction field, this paper manages the use of the ideas of Internet of Things and its application in making brilliant condition. The particular objective is to plan a keen situation for upgrading the instructing and learning forms at colleges. The earth ought to incorporate sufficient ideas of keen structures and brilliant classrooms with e-learning frameworks, to furnish understudies with cutting edge e-learning administrations and administrations that enhance the general nature of understudies' understanding. In this paper, we have proposed a safe biometric, One Time Password (OTP) and ace key based validation framework in IoT organize. The confirmation convention utilizes XOR operation and lightweight hash operation. The security examination demonstrates that it is safe against various assaults.

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Mei, T. X., J. H. Yu, and D. A. Wilson. "A mechatronic approach for effective wheel slip control in railway traction." Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 223, no. 3 (December 11, 2008): 295–304. http://dx.doi.org/10.1243/09544097jrrt249.

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This article proposes a radically new approach for the detection of wheel slip/slide and re-adhesion control of AC traction motors in railway applications, which provides an important alternative and advantageous technique in traction/braking control systems to maximize the use of adhesion in poor contact conditions. The proposed concept explores the variations in the wheelset dynamic properties caused by the condition changes at the wheel—rail contact, and detects and controls the slip conditions from the dynamic behaviour of a wheelset, indirectly. All the dynamic motions of rail wheelset, which are closely related to wheel—rail contact mechanics, are included in the study; the influence of contact conditions on the relevant modes is assessed, which is essential in the development of a mechatronic solution based on dynamic interactions. This is different from the more general approaches in many other studies on traction controls where the inclusion of only wheelset rotation and longitudinal motions are considered as sufficient. The development of the slip detection and re-adhesion control schemes is presented and comprehensive simulation results are produced to support the proposed idea.

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Syahanti, Siti Hafshah, Arsal Arsal, and Edi Rosman. "ANALISIS PEMIKIRAN MUSDAH MULIA TENTANG WALI NIKAH DAN RELEVANSINYA TERHADAP PEMBARUAN HUKUM KELUARGA DI INDONESIA." Islam Transformatif : Journal of Islamic Studies 3, no. 1 (November 13, 2019): 52. http://dx.doi.org/10.30983/it.v3i1.835.

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<p><em>The discussion of marriage guardian is one of the pillars that must exist in a marriage, illegitimate marriage without the presence of a guardian. The Compilation of Islamic Law (KHI) as the law governing Muslim marriages in Indonesia requires guardians as a legal condition of marriage (articles 14 and 19). However, on the other hand, one of the Muslim intellectuals, Siti Musdah Mulia, stated an opposing idea, that guardians are not included in the pillars of marriage. The results showed that the Musdah Mulia thinking generally led to the typology of liberal Islamic thought. Specifically on the issue of the absence of guardians in marriage, Musdah's opinions are not too contrary to the text; Musdah's attention to gender places a substantial portion in establishing the law; and the Musdah idea is not only channeled in the form of thought alone but also poured into the form of a legal regulation draft (CLD-KHI) so that the law applies comprehensively and can be applied clearly and can achieve justice and social benefit in the midst of the people. Then based on this, a specific typology of Musdah Mulia's thought was obtained about the absence of guardians in the marriage harmony leading to progressive Islamic thought. And Musdah Mulia's ideas about the lack of marriage guardians have sufficient relevance to the renewal of Islamic family law in Indonesia.</em></p>

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Kataoka, R., K. Hosokawa, N. Nishitani, and Y. Miyoshi. "SuperDARN Hokkaido radar observation of westward flow enhancement in subauroral latitudes." Annales Geophysicae 27, no. 4 (April 7, 2009): 1695–99. http://dx.doi.org/10.5194/angeo-27-1695-2009.

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Abstract. Westward flow enhancement in subauroral latitudes is investigated based on the first one and a half year observation of the SuperDARN Hokkaido radar. A total of 15 events are identified with the criteria of westward flow speed of >1.0 km/s in magnetic latitude from 45 to 65 deg during geomagnetically disturbed period of Kp>3+ at 20 magnetic local time. It is found that especially during the storm recovery phase, the flow enhancement occurs in broad range of Dst amplitude, and the occurrence latitude depends on the amplitude of Dst. It is also found that the disturbed Kp condition is not sufficient for the appearance of the subauroral flow enhancement as seen by Hokkaido radar while storm-like Dst condition is necessary, supporting the idea that ring current particles play an essential role to enhance the westward flow in subauroral latitudes via magnetosphere-ionosphere coupling through the field-aligned current.

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FUJITA, SATOSHI. "Resilient Tree-Based Video Streaming with a Guaranteed Latency." Journal of Interconnection Networks 19, no. 04 (December 2019): 1950009. http://dx.doi.org/10.1142/s0219265919500099.

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In this paper, we propose a method to organize a tree-based Peer-to-Peer (P2P) overlay for video streaming which is resilient to the temporal reduction of the upload capacity of a node. The basic idea of the proposed method is: (1) to introduce the redundancy to a given tree-structured overlay, in such a way that a part of the upload capacity of each node is proactively used for connecting to a sibling node, and (2) to use those links connecting to the siblings to forward video stream to the siblings. More specifically, we prove that even if the maximum number of children of a node temporally reduces from m to m − k for some 1 ≤ k ≤ m − 1, the proposed method continues the forwarding of video stream to all of m children in at most 2x hops, where x is the smallest integer satisfying m − k ≥ m/2x. We also derive a sufficient condition to bound the increase of the latency by an additive constant. The derived sufficient condition indicates that if each node can have at least six children in the overlay, the proposed method increases the latency by at most one, provided that the number of nodes in the overlay is at most 9331; namely the proposed method guarantees the delivery of video stream with a nearly optimal latency.

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Araki, Mituhiko, Ken’ichi Fukumitsu, and Tomomichi Hagiwara. "Simultaneous Stabilization and Pole Assignment by Two Level Controllers Consisting of a Gain Feedback and a Multirate Input Controller." Journal of Dynamic Systems, Measurement, and Control 121, no. 2 (June 1, 1999): 302–5. http://dx.doi.org/10.1115/1.2802470.

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A method of simultaneous pole assignment of a finite number of plant models is studied. Extending the idea of multi-structured multirate sampled-data controllers proposed in our previous work, this paper proposes a new method where a continuous-time gain feedback controller instead of a multirate sampled-data controller is used as the “internal structure.” By the proposed method, the plants precompensated by the internal structure can generally be made to satisfy an existing sufficient condition for simultaneous pole-assignability, and hence the class of the plant models for which simultaneous pole assignment can be attained becomes wider than that by the previous results. In particular, simultaneous pole assignment becomes possible for any finite number of plant models, provided that each model is controllable and observable.

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Journal articles on the topic 'Sufficient condition idea'

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