Nonautonomous Dynamical Systems, 2015 In this paper we investigate additional regularity properties for global and trajectory attractors of all globally defined weak solutions of semi-linear parabolic differential reaction-diffusion equations with discontinuous nonlinearities, when initial ...
Gluzman Mark O. +2 more
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Estimation of the Attraction Domain for the Quantum Systems Based on the Schrödinger Equation
AxiomsThis paper investigates a quantum system described by the Schrödinger equation, utilizing the concept of the quantum Lyapunov function. The Lyapunov function is chosen based on the mean value of a virtual mechanical quantity, where different values of P,
Hongli Yang +2 more
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Control Lyapunov-Barrier Function-Based Model Predictive Control of Nonlinear Systems
American Control Conference, 2018 In this paper, we propose a Control Lyapunov-Barrier Function-based model predictive control (CLBF-MPC) method for solving the problem of stabilization of nonlinear systems with input constraint satisfaction and guaranteed safety for all times ...
Zhe Wu +5 more
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A Lyapunov Theory-Based SEIG–STATCOM Voltage Regulation Control Strategy
EnergiesTo improve the voltage regulation of asynchronous generators during load switching, a Lyapunov-based control strategy has been proposed to stabilize the generator’s voltage by connecting a static synchronous compensator.
Zeyu Zhang, Pingping Gong, Ziguang Lu
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Robust Tracking Control of the Euler-Lagrange System Based on Barrier Lyapunov Function and Self-Structuring Neural Networks. [PDF]
Comput Intell Neurosci, 2021 Wang Y, Ma H, Wu W.
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A graph-theoretic approach to global input-to-state stability for coupled control systems
Advances in Difference Equations, 2017 In this paper, the input-to-state stability for coupled control systems is investigated. A systematic method of constructing a global Lyapunov function for the coupled control systems is provided by combining graph theory and the Lyapunov method ...
Yu Qiao, Yue Huang, Minghao Chen
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Lyapunov function and global asymptotic stability for a new multiscale viral dynamics model incorporating the immune system response: Implemented upon HCV. [PDF]
PLoS One, 2021 Elkaranshawy HA, Ezzat HM, Ibrahim NN.
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On The Synchronization of Van Der Pol-Duffing Oscillator
Cumhuriyet Science Journal, 2019 Themost well known property of chaotic systems is their sensitivity to initialconditions. In this work the criterion presented in literature forsynchronizing two chaotic systems is applied to a system consisting of two Vander Pol-Duffing oscillators ...
Rıfat Yazıcı +1 more
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Stability conditions for the mixing flow dynamical system in a perturbed version
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2019 This paper continues some recent work on dynamical systems models from mixing flow area. The 2d mixing flow model is taken into account, in a slightly perturbed form.
Adela Ionescu
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The structure of the level surfaces of a Lyapunov function [PDF]
, 1967 F. Wilson
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