Results 71 to 80 of about 111,531 (189)

Lyapunov Functions for Weak Solutions of Reaction-Diffusion Equations with Discontinuous Interaction Functions and its Applications

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., Gorban Nataliia V., Kasyanov Pavlo O.   +2 more
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A Lyapunov Theory-Based SEIG–STATCOM Voltage Regulation Control Strategy

Energies
To 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
doaj   +1 more source

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, Selahattin Kındıkoğlu   +1 more
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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.
europepmc   +1 more source

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.
europepmc   +1 more source

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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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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Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System

Journal of Applied Mathematics, 2013
We propose an approach for constructing Lyapunov function in quadratic form of a differential system. First, positive polynomial system is obtained via the local property of the Lyapunov function as well as its derivative.
Zhenyi Ji, Wenyuan Wu, Yong Feng, Guofeng Zhang   +3 more
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Input-to-Output Stability for Stochastic Complex Networked Control Systems

Axioms
In this article, input-to-output stability (IOS) for stochastic complex networked control systems (SCNCS) is investigated. By applying Kirchhoff’s matrix tree theorem in graph theory, an appropriate Lyapunov function is established which is related to ...
Xuexin Li, Shang Gao
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Quadratic forms as Lyapunov functions in the study of stability of solutions to difference equations

Electronic Journal of Differential Equations, 2011
A system of linear autonomous difference equations $x(n+1)=Ax(n)$ is considered, where $xin mathbb{R}^k$, $A$ is a real nonsingular $kimes k$ matrix.
Alexander O. Ignatyev, Oleksiy Ignatyev
doaj