Готові списки джерел за темами / Backward Dynamical Approach

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  1. Статті в журналах
  2. Дисертації
  3. Книги
  4. Частини книг
  5. Тези доповідей конференцій
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Добірка наукової літератури з теми "Backward Dynamical Approach"

Автор: Grafiati
Опубліковано: 11 березня 2023

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Статті в журналах з теми "Backward Dynamical Approach"

1

Attouch, Hédy, Juan Peypouquet, and Patrick Redont. "A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization." SIAM Journal on Optimization 24, no. 1 (2014): 232–56. http://dx.doi.org/10.1137/130910294.

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2

KLEMM, M., and P. E. BECKMANN. "THE TOPOLOGY OF BASIN BOUNDARIES IN A CLASS OF THREE-DIMENSIONAL DYNAMICAL SYSTEMS." International Journal of Bifurcation and Chaos 06, no. 01 (1996): 161–67. http://dx.doi.org/10.1142/s0218127496001909.

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Анотація:
We will develop new methods to determine the topology of the basin boundary in a class of three-dimensional dynamical systems. One approach is to approximate the basin boundary by backward integration. Unfortunately, there are dynamical systems where it is hard to approximate the basin boundary by a numerical backward integration algorithm. We will introduce topological methods which will provide new information about the structure of the basin boundary. The topological invariants which we will use can be numerically computed.
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3

Rosatti, Giorgio, Daniel Zugliani, Marina Pirulli, and Marta Martinengo. "A new method for evaluating stony debris flow rainfall thresholds: the Backward Dynamical Approach." Heliyon 5, no. 6 (2019): e01994. http://dx.doi.org/10.1016/j.heliyon.2019.e01994.

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4

Boţ, Radu Ioan, Sorin-Mihai Grad, Dennis Meier, and Mathias Staudigl. "Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure." Advances in Nonlinear Analysis 10, no. 1 (2020): 450–76. http://dx.doi.org/10.1515/anona-2020-0143.

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Abstract In this work we investigate dynamical systems designed to approach the solution sets of inclusion problems involving the sum of two maximally monotone operators. Our aim is to design methods which guarantee strong convergence of trajectories towards the minimum norm solution of the underlying monotone inclusion problem. To that end, we investigate in detail the asymptotic behavior of dynamical systems perturbed by a Tikhonov regularization where either the maximally monotone operators themselves, or the vector field of the dynamical system is regularized. In both cases we prove strong
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5

Martinengo, Marta, Daniel Zugliani, and Giorgio Rosatti. "Uncertainty analysis of a rainfall threshold estimate for stony debris flow based on the backward dynamical approach." Natural Hazards and Earth System Sciences 21, no. 6 (2021): 1769–84. http://dx.doi.org/10.5194/nhess-21-1769-2021.

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Анотація:
Abstract. A rainfall threshold is a function of some rainfall quantities that provides the conditions beyond which the probability of debris-flow occurrence is considered significant. Many uncertainties may affect the thresholds calibration and, consequently, its robustness. This study aims to assess the uncertainty in the estimate of a rainfall threshold for stony debris flow based on the backward dynamical approach, an innovative method to compute the rainfall duration and averaged intensity strictly related to a measured debris flow. The uncertainty analysis is computed by performing two Mo
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6

Tkach, T. B., A. S. Kvasikova, and I. M. Shpinareva. "ON SOME NUMERICAL MODEL TO SOLVING DYNAMICAL EQUATIONS OF NONRELATIVISTIC AND RELATIVISTIC BACKWARD-WAVE TUBE." Photoelectronics, no. 30 (August 21, 2022): 146–51. http://dx.doi.org/10.18524/0235-2435.2021.30.262909.

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It is developed an effective computational approach to solution the master corresponding system of differential equations, which describe the nonlinear stationary and non-stationary electromagnetic processes in the nonrelativistic and relativistic backward-wave tubes (carcinotrons) with maximal accounting for the different physical factors such as the relativistic effects, effects of dissipation, the presence of a space charge, wave reflections at the ends of the slowing system, stochastic factors by means including the special elements in a whole system etc as well as the detailed investigati
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Boţ, Radu Ioan, and Laura Kanzler. "A forward-backward dynamical approach for nonsmooth problems with block structure coupled by a smooth function." Applied Mathematics and Computation 394 (April 2021): 125822. http://dx.doi.org/10.1016/j.amc.2020.125822.

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Ioan Boţ, Radu, and Ernö Robert Csetnek. "A forward-backward dynamical approach to the minimization of the sum of a nonsmooth convex with a smooth nonconvex function." ESAIM: Control, Optimisation and Calculus of Variations 24, no. 2 (2018): 463–77. http://dx.doi.org/10.1051/cocv/2017020.

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Анотація:
We address the minimization of the sum of a proper, convex and lower semicontinuous function with a (possibly nonconvex) smooth function from the perspective of an implicit dynamical system of forward-backward type. The latter is formulated by means of the gradient of the smooth function and of the proximal point operator of the nonsmooth one. The trajectory generated by the dynamical system is proved to asymptotically converge to a critical point of the objective, provided a regularization of the latter satisfies the Kurdyka−Łojasiewicz property. Convergence rates for the trajectory in terms
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Sharma, Sandeep, and Nitu Kumari. "Backward Bifurcation in a Cholera Model: A Case Study of Outbreak in Zimbabwe and Haiti." International Journal of Bifurcation and Chaos 27, no. 11 (2017): 1750170. http://dx.doi.org/10.1142/s021812741750170x.

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Анотація:
In this paper, a nonlinear deterministic model is proposed with a saturated treatment function. The expression of the basic reproduction number for the proposed model was obtained. The global dynamics of the proposed model was studied using the basic reproduction number and theory of dynamical systems. It is observed that proposed model exhibits backward bifurcation as multiple endemic equilibrium points exist when [Formula: see text]. The existence of backward bifurcation implies that making [Formula: see text] is not enough for disease eradication. This, in turn, makes it difficult to contro
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Gao, Huadong. "Efficient Numerical Solution of Dynamical Ginzburg-Landau Equations under the Lorentz Gauge." Communications in Computational Physics 22, no. 1 (2017): 182–201. http://dx.doi.org/10.4208/cicp.oa-2016-0120.

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AbstractIn this paper, a new numerical scheme for the time dependent Ginzburg-Landau (GL) equations under the Lorentz gauge is proposed. We first rewrite the original GL equations into a new mixed formulation, which consists of three parabolic equations for the order parameter ψ, the magnetic field σ=curlA, the electric potential θ=divA and a vector ordinary differential equation for the magnetic potential A, respectively. Then, an efficient fully linearized backward Euler finite element method (FEM) is proposed for the mixed GL system, where conventional Lagrange element method is used in spa
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Дисертації з теми "Backward Dynamical Approach"

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Liang, Gechun. "A functional approach to backward stochastic dynamics." Thesis, University of Oxford, 2010. http://ora.ox.ac.uk/objects/uuid:afb9af6f-c79c-4204-838d-2a4872c1c796.

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Анотація:
In this thesis, we consider a class of stochastic dynamics running backwards, so called backward stochastic differential equations (BSDEs) in the literature. We demonstrate BSDEs can be reformulated as functional differential equations defined on path spaces, and therefore solving BSDEs is equivalent to solving the associated functional differential equations. With such observation we can solve BSDEs on general filtered probability space satisfying the usual conditions, and in particular without the requirement of the martingale representation. We further solve the above functional differentia
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Martinengo, Marta. "Improving some non-structural risk mitigation strategies in mountain regions: debris-flow rainfall thresholds, multi-hazard flooding scenarios and public awareness." Doctoral thesis, Università degli studi di Trento, 2022. http://hdl.handle.net/11572/353702.

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Анотація:
Hydrogeological hazards are quite diffuse rainfall-induced phenomena that affect mountain regions and can severely impact these territories, producing damages and sometimes casualties. For this reason, hydrogeological risk reduction is crucial. Mitigation strategies aim to reduce hydrogeological risk to an acceptable level and can be classified into structural and non-structural measures. This work focuses on enhancing some non-structural risk mitigation measures for mountain areas: debris-flow rainfall thresholds, as a part of an Early Warning System (EWS), multivariate rainfall scenarios wit
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3

Le, Pendu Mikaël. "Backward compatible approaches for the compression of high dynamic range videos." Thesis, Rennes 1, 2016. http://www.theses.fr/2016REN1S002/document.

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Les technologies d'écran ont connu récemment une évolution rapide. De la télévision 3D à l'Ultra Haute Définition, la tendance est maintenant aux écrans HDR (pour ''High Dynamic Range'') permettant de reproduire une gamme de luminance bien plus élevée que les écrans classiques. L'émergence de cette technologie implique de nouveaux travaux de standardisation dans le domaine de la compression vidéo. Une question essentielle pour la distribution à grande échelle de contenu HDR est celle de la rétro-compatibilité. Tandis que la future génération d'écrans de télévision sera adaptée à ce nouveau for
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4

Fonley, Morgan Rae. "Effects of oscillatory forcing on hydrologic systems under extreme conditions: a mathematical modeling approach." Diss., University of Iowa, 2015. https://ir.uiowa.edu/etd/2075.

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Анотація:
At the large watershed scale, we emphasize the effects of flow through a river network on streamflow under dry conditions. An immediate consequence of assuming dry conditions is that evapotranspiration causes flow in the river network to exhibit oscillations. When all links in the river network combine their flow patterns, the oscillations interact in ways that change the timing and amplitude of the streamflow waves at the watershed outlet. The geometric shape of the river network is particularly important, so we develop a
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Vestin, Albin, and Gustav Strandberg. "Evaluation of Target Tracking Using Multiple Sensors and Non-Causal Algorithms." Thesis, Linköpings universitet, Reglerteknik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-160020.

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Анотація:
Today, the main research field for the automotive industry is to find solutions for active safety. In order to perceive the surrounding environment, tracking nearby traffic objects plays an important role. Validation of the tracking performance is often done in staged traffic scenarios, where additional sensors, mounted on the vehicles, are used to obtain their true positions and velocities. The difficulty of evaluating the tracking performance complicates its development. An alternative approach studied in this thesis, is to record sequences and use non-causal algorithms, such as smoothing, i
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Книги з теми "Backward Dynamical Approach"

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Lazer, David, and Stefan Wojcik. Political Networks and Computational Social Science. Edited by Jennifer Nicoll Victor, Alexander H. Montgomery, and Mark Lubell. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780190228217.013.9.

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The last half century has witnessed the digitization of human life, with a sharp inflection point being the widespread adoption of the Internet. In the wake of this digitization the phrase “big data” has been coined. Because many big data are explicitly or implicitly relational, this digitization of humanity has been critical in the increase in the study of networks. Further, since this digitization process continues not only forward but backward (e.g., through the scanning of millions of books and news periodicals going back for centuries), it is likely that the social sciences will be recent
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2

Sheth, Falguni A. Unruly Women. Oxford University Press, 2022. http://dx.doi.org/10.1093/oso/9780197547137.001.0001.

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Анотація:
Drawing upon Michel Foucault’s accounts of governmentality and neoliberalism, liberal feminist and colonial “civilizing” narratives, and tacit juridical racial dismissal toward visibly Muslim women, this book explores the neocolonial and racial-cultural aesthetics of power as directed toward women of color and Black women. Even as neocolonialism incorporates without acknowledgment the anti-Blackness and settler-colonial roots of its past, along with an anti-immigrationist sentiment—it does not do so overtly. Rather it does so through a range of biopolitical, ontopolitical, and globalizing neol
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Частини книг з теми "Backward Dynamical Approach"

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Al-Shudeifat, Mohammad A., Oleg Shiryayev, Tariq Alzarooni, and Chandrasekhar Nataraj. "Full Spectrum Analysis for Studying the Backward Whirl in Accelerated Rotor Systems." In Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77310-6_4.

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Glushkov, Alexander V., Andrey V. Tsudik, Valentin B. Ternovsky, et al. "Deterministic Chaos, Bifurcations and Strange Attractors in Nonlinear Dynamics of Relativistic Backward-Wave Tube." In Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77310-6_12.

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Riad, Maha, Saeedeh Ghanadbashi, and Fatemeh Golpayegani. "Run-Time Norms Synthesis in Dynamic Environments with Changing Objectives." In Communications in Computer and Information Science. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-26438-2_36.

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Анотація:
AbstractNormative Multi-Agent Systems (NorMAS) can model real-world applications as multi-agent systems and facilitate the coordination of the social behaviour of various entities (agents) interacting in an environment using norms. Aligning such norms with the objectives of the agents is crucially important to ensure that applying the norms would not affect the achievement of their objectives. However, when the environment is dynamic, agents can face unseen situations and might need to change their objectives accordingly. Therefore, it becomes more challenging to understand the change, synthesise norms, and align them with such dynamic objectives. This paper introduces a Dynamic Objectives and Norms Synthesizer and Reasoner (DONSR) model to align objectives and norms using a utility-based approach. An ontology-based schema, forward reasoning, and backward reasoning are used to identify the change in the environment and synthesise new objectives. Case-based reasoning enables the dynamic changing and reasoning of previously created objectives and synthesising norms. DONSR is evaluated using multiple simulated traffic scenarios, including different unseen situations (emergency events).Results show that norms can be synthesised and maintained efficiently while the objectives are being created and changed. Further, DONSR showed its efficacy in handling unseen situations, creating new objectives, and aligning them with the created norms.
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4

Jin, Shangzhu, Jike Ge, and Jun Peng. "A New Fuzzy Rule Interpolation Approach to Terrorism Risk Assessment." In Violent Extremism. IGI Global, 2019. http://dx.doi.org/10.4018/978-1-5225-7119-3.ch019.

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Анотація:
Terrorist attacks launched by extremist groups or individuals have caused catastrophic consequences worldwide. Terrorism risk assessment therefore plays a crucial role in national and international security. Fuzzy reasoning based terrorism risk assessment systems offer a significant potential of providing decision support in combating terrorism, where highly complex situations may be involved. Nevertheless, little has been done in developing and applying an integrated hierarchical bidirectional (forward/backward) fuzzy rule interpolation mechanism that is tailored to suit decision support for terrorism risk assessment. This paper presents such an integrated approach that is capable of dealing with dynamic and insufficient information in the risk assessing process. In particular, the hierarchical system implementing the proposed techniques can predict the likelihood of terrorism attacks on different segments of focused attention. The results of an experimental investigation of this implemented system are represented, demonstrating the potential and efficacy of the proposed approach.
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Ugurlu, Barkan, and Atsuo Kawamura. "Prototyping and Real-Time Implementation of Bipedal Humanoid Robots." In Prototyping of Robotic Systems. IGI Global, 2012. http://dx.doi.org/10.4018/978-1-4666-0176-5.ch006.

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This chapter is aimed at describing a contemporary bipedal humanoid robot prototyping technology, accompanied with a mathematically rigorous method to generate real-time walking, jumping, and running trajectories that can be applied to this type of robots. The main strategy in this method is to maintain the overall dynamic equilibrium and to prevent undesired rotational actions for the purpose of smooth maneuvering capabilities while the robot is in motion. In order to reach this goal, Zero Moment Point criterion is utilized in spherical coordinates, so that it is possible to fully exploit its properties by the help of Euler’s equations of motions. Such a strategy allows for characterization of the rotational inertia and therefore the associated angular momentum rate change terms, so that undesired torso angle fluctuations during walking and running are well suppressed. It enables prevention of backwards-hopping actions during jumping as well. To validate the proposed approach, the authors performed simulations using a precise 3D simulator and conducted experiments on an actual bipedal robot. Results indicated that the method is superior to classical methods in terms of suppressing undesired rotational actions, such as torso angle fluctuations and backwards-hopping.
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Félix Mora-Camino and Luiz Gustavo Zelaya Cruz. "Advances in Data Processing for Airlines Revenue Management." In Computational Models, Software Engineering, and Advanced Technologies in Air Transportation. IGI Global, 2010. http://dx.doi.org/10.4018/978-1-60566-800-0.ch008.

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Анотація:
In this communication advances in data processing techniques applied to Airlines Revenue Management are displayed. The general introduction presents a brief review of Airlines Revenue Management. The first of the paper introduces the problem of updating the probability distributions of demand for reservations. This updating process, facing the stochastic nature of demand for travel, is a cornerstone for the design of an efficient on-line decision support system to control the reservation process for a flight by an airline. The considered problem is formulated as a dual geometric problem to which an unconstrained nonconvex, primal geometric problem is associated. A genetic algorithm optimization approach is proposed to solve the primal geometric problem, and then the classical geometric primal-dual transformations provide the solution to the initial problem. Then, the second part of the paper considers the design of a new Decision Support System for improving the reservation control process of airlines. A new recursive Dynamic Programming model for maximum expected revenue evaluation is defined, which, contrarily to other approaches, takes explicitly into account daily booking request arrivals. A practical Backward Dynamic Programming algorithm is established, leading to the design of an on-line optimisation module for Revenue Management. In this study two cases are considered. The first one considers that fare classes are not physically confined and the obtained results are extended in the second case to cover the situations where confinement of fare classes (Business Class and Economy Class) is applied.
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Jabari, Farkhondeh, Heresh Seyedia, Sajad Najafi Ravadanegh, and Behnam Mohammadi Ivatloo. "Stochastic Contingency Analysis Based on Voltage Stability Assessment in Islanded Power System Considering Load Uncertainty Using MCS and k-PEM." In Advances in Computer and Electrical Engineering. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-4666-9911-3.ch002.

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Анотація:
Increased electricity demands and economic operation of large power systems in a deregulated environment with a limited investment in transmission expansion planning causes interconnected power grids to be operated closer to their stability limits. Meanwhile, the loads uncertainty will affect the static and dynamic stabilities. Therefore, if there is no emergency corrective control in time, occurrence of wide area contingency may lead to the catastrophic cascading outages. Studies show that many wide area blackouts which led to massive economic losses may have been prevented by a fast feasible controlled islanding decision making. This chapter introduces a novel computationally efficient approach for separating of bulk power system into several stable sections following a severe disturbance. The splitting strategy reduces the large initial search space to an interface boundary network considering coherency of synchronous generators and network graph simplification. Then, a novel islanding scenario generator algorithm denoted as BEM (Backward Elimination Method) based on PMEAs (Primary Maximum Expansion Areas) has been applied to generate all proper islanding solutions in the simplified network graph. The PPF (Probabilistic Power Flow) based on Newton-Raphson method and Q-V modal analysis has been used to evaluate the steady-state stability of created islands in each generated scenario. BICA (Binary Imperialistic Competitive Algorithm) has then been applied to minimize total load-generation mismatch considering integrity, voltage permitted range and steady-state voltage stability constraints. The best solution has then been applied to split the entire power network. A novel stochastic contingency analysis of islands based on PSVI (Probability of Static Voltage Instability) using MCS (Monte Carlo Simulation) and k-PEM (k-Point Estimate Method) have been proposed to identify the critical PQ buses and severe contingencies. In these approaches, the ITM (Inverse Transform Method) has been used to model uncertain loads with normal probability distribution function in optimal islanded power system. The robustness, effectiveness and capability of the proposed approaches have been validated on the New England 39-bus standard power system.
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Тези доповідей конференцій з теми "Backward Dynamical Approach"

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Gunter, Edgar J., and Wen Jeng Chen. "Dynamic Analysis of an 1150 MW Turbine-Generator." In ASME 2005 Power Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pwr2005-50142.

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Анотація:
This paper presents the dynamical analysis of an 11-bearing 1,150 MW turbine-generator system. Original studies of this system yielded information on the system critical speeds and mode shapes. These calculations were first generated by the transfer matrix method. It was found that the transfer matrix method is unsuited for the analysis of large turbine-generators for a number of reasons. The first is the problem of convergence of the modes with a large number of mass stations. The second is that the iteration procedure misses modes that are closely spaced. In the study of the dynamical behavi
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Gragg, Jared, Jingzhou (James) Yang, and Guolai Yang. "Probabilistic Approach for Digital Human Kinematic and Dynamic Reliabilities." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70560.

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Анотація:
Traditionally, deterministic methods have been applied in digital human modeling (DHM). Transforming the deterministic approach of digital human modeling into a probabilistic approach is natural since there is inherent uncertainty and variability associated with DHM problems. Typically, deterministic studies in this field ignore this uncertainty or try to limit the uncertainty by employing optimization procedures. Due to the variability in the inputs, a deterministic study may not be enough to account for the uncertainty in the system. Probabilistic design techniques allow the designer to pred
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Grover, Piyush. "Stability Analysis in Mean-Field Games via an Evans Function Approach." In ASME 2018 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/dscc2018-8926.

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Анотація:
This work is concerned with stability analysis of stationary and time-varying equilibria in a class of mean-field games that relate to multi-agent control problems of flocking and swarming. The mean-field game framework is a non-cooperative model of distributed optimal control in large populations, and characterizes the optimal control for a representative agent in Nash-equilibrium with the population. A mean-field game model is described by a coupled PDE system of forward-in-time Fokker-Planck (FP) equation for density of agents, and a backward-in-time Hamilton-Jacobi-Bellman (HJB) equation f
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4

Spakovsky, Z. S. "Backward Traveling Rotating Stall Waves in Centrifugal Compressors." In ASME Turbo Expo 2002: Power for Land, Sea, and Air. ASMEDC, 2002. http://dx.doi.org/10.1115/gt2002-30379.

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Rotating stall waves that travel against the direction of rotor rotation are reported for the first time and a new, low-order analytical approach to model centrifugal compressor stability is introduced. The model is capable of dealing with unsteady radially swirling flows and the dynamic effects of impeller-diffuser component interaction as it occurs in centrifugal compression systems. A simple coupling criterion is developed from first principles to explain the interaction mechanism important for system stability. The model findings together with experimental data explain the mechanism for fi
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Wang, Fengxia, and Saeed Onsorynezhad. "Backward Mechanical-Electric Coupling Effect of a Frequency-Up-Conversion Piezoelectric Energy Harvester." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97867.

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Abstract This paper developed an analytical model for a frequency-up-conversion piezoelectric energy harvester (PEH) composed of a piezoelectric bimorph and a stopper as shown in Fig.1. The whole system was subjected to a harmonic excitation. A bimodal approach was adopted to animate the beam stopper reaction. When the tip of the bimorph vibrates in free space or impacts with the stopper, a cantilever beam function was adopted. On the other hand, if the tip of the bimorph sticks with the stopper, a clamped-pinned beam function was applied to model the piezoelectric bimorph. To exam the effect
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Ward, Greg. "A general approach to backwards-compatible delivery of high dynamic range images and video." In ACM SIGGRAPH 2008 classes. ACM Press, 2008. http://dx.doi.org/10.1145/1401132.1401172.

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Krishna, C. Vamsi, and Santosh Hemchandra. "Reduced Order Modelling of Combustion Instability in a Backward Facing Step Combustor." In ASME 2013 Gas Turbine India Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gtindia2013-3559.

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This paper develops a fully coupled time domain Reduced Order Modelling (ROM) approach to model unsteady combustion dynamics in a backward facing step combustor. The acoustic field equations are projected onto the canonical acoustic eigenmodes of the systems to obtain a coupled system of modal evolution equations. The heat release response of the flame is modelled using the G-equation approach. Vortical velocity fluctuations that arise due to shear layer rollup downstream of the step are modelled using a simplified 1D-advection equation whose phase speed is determined from a linear, local, tem
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Kasac, J., J. Deur, B. Novakovic, and I. Kolmanovsky. "A BPTT-Like Optimal Control Algorithm With Vehicle Dynamics Control Application." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-67319.

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Анотація:
The paper presents a gradient-based numerical algorithm for optimal control of nonlinear multivariable systems with control and state vectors constraints. The algorithm has a backward-in-time recurrent structure similar to the backpropagation-through-time (BPTT) algorithm, which is mostly used as a learning algorithm for dynamic neural networks. This paper presents an enhancement of the basic optimization algorithm. Our enhanced algorithm uses high-order Adams time-discretization schemes instead of the basic Euler discretization method, and a numerical calculation of Jacobians as an alternativ
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Bayly, Philip V., Keith A. Young, and Jeremiah E. Halley. "Tool Oscillation and the Formation of Lobed Holes in a Quasi-Static Model of Reaming." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8061.

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Анотація:
Abstract A quasi-static model of reaming is used to explain oscillation of the tool during cutting and the resulting roundness errors in reamed holes. Tools with N evenly-spaced teeth often produce holes with N+1 or N-1 “lobes”. These profiles correspond, respectively, to forward or backward whirl of the tool at N cycles/rev. Other whirl harmonics (2N cycles/rev, e.g.) are occasionally seen as well. The quasi-static model is motivated by the observations that relatively large oscillations occur at frequencies well below the natural frequency of the tool, and that in this regime the wavelength
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10

Gavrea, B., D. Negrut, and F. A. Potra. "The Newmark Integration Method for Simulation of Multibody Systems: Analytical Considerations." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81770.

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Анотація:
When simulating the behavior of a mechanical system, the time evolution of the generalized coordinates used to represent the configuration of the model is computed as the solution of a combined set of ordinary differential and algebraic equations (DAEs). There are several ways in which the numerical solution of the resulting index 3 DAE problem can be approached. The most well-known and time-honored algorithms are the direct discretization approach, and the state-space reduction approach, respectively. In the latter, the problem is reduced to a minimal set of potentially new generalized coordi
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Звіти організацій з теми "Backward Dynamical Approach"

1

An Input Linearized Powertrain Model for the Optimal Control of Hybrid Electric Vehicles. SAE International, 2022. http://dx.doi.org/10.4271/2022-01-0741.

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Анотація:
Models of hybrid powertrains are used to establish the best combination of conventional engine power and electric motor power for the current driving situation. The model is characteristic for having two control inputs and one output constraint: the total torque should be equal to the torque requested by the driver. To eliminate the constraint, several alternative formulations are used, considering engine power or motor power or even the ratio between them as a single control input. From this input and the constraint, both power levels can be deduced. There are different popular choices for th
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