Добірка наукової літератури з теми "Auxiliary modulating dynamical systems"
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Статті в журналах з теми "Auxiliary modulating dynamical systems":
Liu, Jie, Da-Yan Liu, Driss Boutat, Xuefeng Zhang, and Ze-Hao Wu. "Innovative non-asymptotic and robust estimation method using auxiliary modulating dynamical systems." Automatica 152 (June 2023): 110953. http://dx.doi.org/10.1016/j.automatica.2023.110953.
Stark, Oliver, Marius Eckert, Albertus Johannes Malan, and Sören Hohmann. "Fractional Systems’ Identification Based on Implicit Modulating Functions." Mathematics 10, no. 21 (November 3, 2022): 4106. http://dx.doi.org/10.3390/math10214106.
Catanach, Thomas A., and James L. Beck. "Bayesian System Identification using auxiliary stochastic dynamical systems." International Journal of Non-Linear Mechanics 94 (September 2017): 72–83. http://dx.doi.org/10.1016/j.ijnonlinmec.2017.03.012.
Grechko, D. A., N. V. Barabash, and V. N. Belykh. "Homoclinic Orbits and Chaos in Nonlinear Dynamical Systems: Auxiliary Systems Method." Lobachevskii Journal of Mathematics 42, no. 14 (December 2021): 3365–71. http://dx.doi.org/10.1134/s199508022202007x.
Fang-Hong, Xiao, Yan Gui-Rong, and Zhang Xin-Wu. "Effect of signal modulating noise in bistable stochastic dynamical systems." Chinese Physics 12, no. 9 (August 29, 2003): 946–50. http://dx.doi.org/10.1088/1009-1963/12/9/304.
El Allaoui, Abdelati, Said Melliani, and Lalla Saadia Chadli. "Stability of Fuzzy Dynamical Systems via Lyapunov Functions." International Journal of Differential Equations 2020 (August 1, 2020): 1–7. http://dx.doi.org/10.1155/2020/6218424.
ZHANG, YONGXIANG. "CHARACTERIZING FRACTAL BASIN BOUNDARIES FOR PLANAR SWITCHED SYSTEMS." Fractals 25, no. 03 (May 18, 2017): 1750031. http://dx.doi.org/10.1142/s0218348x17500311.
Tang, Jia-Liang, Gabriel Alvarado Barrios, Enrique Solano, and Francisco Albarrán-Arriagada. "Tunable Non-Markovianity for Bosonic Quantum Memristors." Entropy 25, no. 5 (May 6, 2023): 756. http://dx.doi.org/10.3390/e25050756.
Sabi’u, Jamilu, Mustafa Inc, Temesgen Leta, Dumitru Baleanu, and Hadi Rezazadeh. "Dynamical behaviour of the Joseph-Egri equation." Thermal Science 27, Spec. issue 1 (2023): 19–28. http://dx.doi.org/10.2298/tsci23s1019s.
Pumaricra Rojas, David, Matti Noack, Johann Reger, and Gustavo Pérez-Zúñiga. "State Estimation for Coupled Reaction-Diffusion PDE Systems Using Modulating Functions." Sensors 22, no. 13 (July 2, 2022): 5008. http://dx.doi.org/10.3390/s22135008.
Дисертації з теми "Auxiliary modulating dynamical systems":
Liu, Jie. "State Estimation for Linear Singular and Nonlinear Dynamical Systems Based on Observable Canonical Forms." Electronic Thesis or Diss., Bourges, INSA Centre Val de Loire, 2024. http://www.theses.fr/2024ISAB0002.
This thesis aims, on the one hand, to design estimators for linear singular systems usingthemethod of modulation functions. On the other hand, it aims to develop observersfor a class of nonlinear dynamical systems using the method of canonical formsof observers. For singular systems, the designed estimators are presented in the formof algebraic integral equations, ensuring non-asymptotic convergence. An essentialcharacteristic of the designed estimation algorithms is that noisy measurements of theoutputs are only involved in integral terms, thereby imparting robustness to the estimatorsagainst perturbing noises. For nonlinear systems, the main design idea is totransform the proposed systems into a simplified form that accommodates existingobservers such as the high-gain observer and the sliding-mode observer. This simpleformis called auxiliary output depending observable canonical form.For the linear singular systems, we transform the considered system into a formsimilar to the Brunovsky’s observable canonical form with the injection of the inputs’and outputs’ derivatives. First, for linear singular systems with single input and singleoutput, the observability condition is proposed. The system’s input-output differentialequation is derived based on the Brunovsky’s observable canonical form. Algebraicformulas with a sliding integration window are obtained for the variables in differentsituations without knowing the system’s initial condition. Second, for linear singular systemswith multiple input and multiple output, an innovative nonasymptotic and robust estimation method based on the observable canonical form by means of a set of auxiliary modulating dynamical systems is introduced. The latter auxiliary systems are given by the controllable observable canonical with zero initial conditions. The proposed method is applied to estimate the states and the output’s derivatives for linear singular system in noisy environment. By introducing a set of auxiliary modulating dynamical systems which provides a more general framework for generating the requiredmodulating functions, algebraic integral formulas are obtained both for the state variables and the output’s derivatives. After giving the solutions of the required auxiliary systems, error analysis in discrete noisy case is addressed, where the provided noise error bound can be used to select design parameters.For the nonlinear dynamical systems, we propose a family of "ready to wear" nonlineardynamical systemswith multiple outputs that can be transformed into the outputauxiliarydepending observer normal forms which can support the well-known slidingmode observer. For this, by means of the so-called dynamics extension method anda set of changes of coordinates (basic algebraic integral computations), the nonlinearterms are canceled by auxiliary dynamics or replaced by nonlinear functions of themultiple outputs. It is worth mentioning that this procedure is finished in a comprehensible way without resort to the tools of differential geometry, which is user-friendly for those who are not familiar with the computations of Lie brackets. In addition, the efficiency and robustness of the proposed observers are verified by numerical simulations in this thesis. Second, a larger class of "ready to wear" nonlinear dynamicalsystems with multiple inputs and multiple outputs are provided to further extend anddevelop the systems proposed in the first case. In a similar way, by means of the corresponding auxiliary dynamics and a set of changes of coordinates, the provided systems are converted into targeted nonlinear observable canonical forms depending on both the multiple outputs and auxiliary variables. Naturally, this procedure is still completed without resort to geometrical tools. Finally, conclusions are outlined with some perspectives
Vanzini, Marco. "Auxiliary systems for observables : dynamical local connector approximation for electron addition and removal spectra." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLX012/document.
This thesis proposes an innovative theoretical method for studying one-electron excitation spectra, as measured in photoemission and inverse photoemission spectroscopy.The current state-of-the-art realistic calculations rely usually on many-body Green’s functions and complex, non-local self energies, evaluated specifically for each material. Even when the calculated spectra are in very good agreement with experiments, the computational cost is very large. The reason is that the method itself is not efficient, as it yields much superfluous information that is not needed for the interpretation of experimental data.In this thesis we propose two shortcuts to the standard method. The first one is the introduction of an auxiliary system that exactly targets, in principle, the excitation spectrum of the real system. The prototypical example is density functional theory, in which the auxiliary system is the Kohn-Sham system: it exactly reproduces the density of the real system via a real and static potential, the Kohn-Sham potential. Density functional theory is, however, a ground state theory, which hardly yields excited state properties: an example is the famous band-gap problem. The potential we propose (the spectral potential), local and frequency-dependent, yet real, can be viewed as a dynamical generalisation of the Kohn-Sham potential which yields in principle the exact spectrum.The second shortcut is the idea of calculating this potential just once and forever in a model system, the homogeneous electron gas, and tabulating it. To study real materials, we design a connector which prescribes the use of the gas results for calculating electronic spectra.The first part of the thesis deals with the idea of auxiliary systems, showing the general framework in which they can be introduced and the equations they have to fulfill. We then use exactly-solvable Hubbard models to gain insight into the role of the spectral potential; in particular, it is shown that a meaningful potential can be defined wherever the spectrum is non-zero, and that it always yields the expected spectra, even when the imaginary or the non-local parts of the self energy play a prominent role.In the second part of the thesis, we focus on calculations for real systems. We first evaluate the spectral potential in the homogeneous electron gas, and then import it in the auxiliary system to evaluate the excitation spectrum. All the non-trivial interplay between electron interaction and inhomogeneity of the real system enters the form of the connector. Finding an expression for it is the real challenge of the procedure. We propose a reasonable approximation for it, based on local properties of the system, which we call dynamical local connector approximation.We implement this procedure for four different prototypical materials: sodium, an almost homogeneous metal; aluminum, still a metal but less homogeneous; silicon, a semiconductor; argon, an inhomogeneous insulator. The spectra we obtain with our approach agree to an impressive extent with the ones evaluated via the computationally expensive self energy, demonstrating the potential of this theory
Книги з теми "Auxiliary modulating dynamical systems":
Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6.
Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems. Springer International Publishing AG, 2021.
Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems. Springer International Publishing AG, 2022.
Частини книг з теми "Auxiliary modulating dynamical systems":
Kutoyants, Yu. "Auxiliary Results." In Identification of Dynamical Systems with Small Noise, 11–38. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1020-4_2.
Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "The Optimal Auxiliary Functions Method." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 11–16. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_2.
Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "Piecewise Optimal Auxiliary Functions Method." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 417–34. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_30.
Palechor, E. U. L., M. R. Machado, M. V. G. de Morais, and L. M. Bezerra. "Dynamic Analysis of a Beam with Additional Auxiliary Mass Spatial Via Spectral Element Method." In Dynamical Systems in Applications, 279–89. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-96601-4_25.
Herisanu, Nicolae, and Vasile Marinca. "Analysis of Nonlinear Dynamic Behavior of a Rotating Electrical Machine Rotor-Bearing System Using Optimal Auxiliary Functions Method." In Dynamical Systems in Applications, 159–68. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-96601-4_15.
Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "The Second Alternative to the Optimal Auxiliary Functions Method." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 367–416. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_29.
Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "The First Alternative of the Optimal Auxiliary Functions Method." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 19–40. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_3.
Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "Oscillations of a Pendulum Wrapping on Two Cylinders." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 41–61. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_4.
Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "Cylindrical Liouville-Bratu-Gelfand Problem." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 343–54. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_27.
Marinca, Vasile, Nicolae Herisanu, and Bogdan Marinca. "Analytical Investigation to Duffing Harmonic Oscillator." In Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems, 147–51. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75653-6_14.
Тези доповідей конференцій з теми "Auxiliary modulating dynamical systems":
Masuda, Arata, Yuya Ogawa, and Akira Sone. "Detection of Contact-Type Damages by Utilizing Nonlinear Piezoelectric Impedance Modulation of Self-Excited Structures." In ASME 2013 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/dscc2013-4058.
Deshmukh, Venkatesh, and S. C. Sinha. "Order Reduction and Control of Large-Scale Linear Time Periodic Dynamical Systems." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8320.
Birchfield, Neal, Kumar Vikram Singh, and Sumit Singhal. "Dynamical Structural Modification for Rotordynamic Application." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-13509.
Yang, H. S., M. S. Rho, H. Y. Park, J. H. Choi, Y. B. Cha, J. H. Kwon, C. H. Yang, and J. B. Hwang. "Permanent Magnet High Speed Starter/Generator System Development Directly Coupled to Gas Turbine Engine for Mobile Auxiliary Power Unit." In ASME Turbo Expo 2004: Power for Land, Sea, and Air. ASMEDC, 2004. http://dx.doi.org/10.1115/gt2004-53165.
Araujo, Ernesto, Ubiratan S. Freitas, Elbert A. N. Macau, Leandro S. Coelho, and Luis A. Aguirre. "Particle Swarm Optimization (PSO) Fuzzy Systems and NARMAX Approaches Trade-Off Applied to Thermal-Vacuum Chamber Identification." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93631.
Dankowicz, Harry, and Frank Schilder. "An Extended Continuation Problem for Bifurcation Analysis in the Presence of Constraints." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86343.
Vilas-Boas, Vitor Mendes, Vitor Da Silva Jorge, and Cleison Daniel Silva. "Towards ideal time window for classifying motor imagery in brain-computer interfaces." In Symposium on Knowledge Discovery, Mining and Learning. Sociedade Brasileira de Computação, 2020. http://dx.doi.org/10.5753/kdmile.2020.11961.
Zhang, Wei, Youhua Qian, and Qian Wang. "Periodic Solutions for Coupled Van Der Pol Oscillators of Two-Degree-of-Freedom Solved by Homotopy Analysis Method." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87135.
Bourdieu, Tomas, Dominic Jekel, and Christoph Schöner. "Objective condensation of wheel-tire assemblies in finite element models for creep groan simulation." In EuroBrake 2022. FISITA, 2022. http://dx.doi.org/10.46720/eb2022-fbr-001.