Results 81 to 90 of about 625,732 (254)

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

Lyapunov functions via Whitney's size functions [PDF]

arXiv, 2014
In this paper we present a technique for constructing Lyapunov functions based on Whitney's size functions. Applications to asymptotically stable equilibrium points, isolated sets, expansive homeomorphisms and continuum-wise expansive homeomorphisms are given.
arxiv  

Lyapunov Differential Equation Hierarchy and Polynomial Lyapunov Functions for Switched Linear Systems [PDF]

arXiv, 2019
This work studies the problem of searching for homogeneous polynomial Lyapunov functions for stable switched linear systems. Specifically, we show an equivalence between polynomial Lyapunov functions for systems of this class and quadratic Lyapunov functions for a related hierarchy of Lyapunov differential equations. This creates an intuitive procedure
arxiv  

Lyapunov functions and topological stability

Journal of Differential Equations, 1980
This paper contains some results on topological stability (see [2, 31) that generalize those obtained in [2] much in the same way as Lyapunov’s direct theorem generalizes the asymptotic stability results of the hyperbolic case: if at a critical point, the linear part of a vector field has proper values with negative real parts, the point is ...
openaire   +2 more sources

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
doaj   +1 more source

Functional inequalities via Lyapunov conditions [PDF]

, 2014
We review here some recent results by the authors, and various coauthors, on (weak,super) Poincar inequalities, transportation-information inequalities or logarithmic Sobolev inequality via a quite simple and efficient technique: Lyapunov conditions.
Cattiaux, Patrick, Guillin, Arnaud
openaire   +5 more sources

Stochastic Stability Analysis of Discrete Time System Using Lyapunov Measure [PDF]

arXiv, 2015
In this paper, we study the stability problem of a stochastic, nonlinear, discrete-time system. We introduce a linear transfer operator-based Lyapunov measure as a new tool for stability verification of stochastic systems. Weaker set-theoretic notion of almost everywhere stochastic stability is introduced and verified, using Lyapunov measure-based ...
arxiv  

Computing Lyapunov functions using deep neural networks [PDF]

arXiv, 2020
We propose a deep neural network architecture and a training algorithm for computing approximate Lyapunov functions of systems of nonlinear ordinary differential equations. Under the assumption that the system admits a compositional Lyapunov function, we prove that the number of neurons needed for an approximation of a Lyapunov function with fixed ...
arxiv  

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

Estimation of the Attraction Domain for the Quantum Systems Based on the Schrödinger Equation

Axioms
This 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, Guohui Yu, Ivan Ganchev Ivanov   +2 more
doaj   +1 more source