Title :
An extension of LaSalle´s invariance principle for discontinuous systems
Author :
Wei, Jumei ; Mu, Xiaowu ; Ma, Rui
Author_Institution :
Dept. of Math., Zhengzhou Univ., Zhengzhou, China
Abstract :
In this paper, discontinuous righthand sides dynamical systems are considered. An extension of LaSalle invariance principle is presented by using locally Lipschitz continuous and nonpathological Lyapunnov functions. This result is used to locate chaotic attractors of studied systems, and less restrictive conditions are required. Numerical example has been given to illustrate the correctness of the theorem.
Keywords :
Lyapunov methods; sampled data systems; LaSalle invariance principle; chaotic attractors; discontinuous righthand sides dynamical systems; locally Lipschitz continuou function; nonpathological Lyapunnov functions; restrictive conditions; Abstracts; Chaos; Conferences; Control systems; Differential equations; Lyapunov methods; Vectors; Discontinuous Righthand Sides; Invariance Principle; Nonpathological;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244562
