DocumentCode
2674768
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
fYear
2012
fDate
23-25 May 2012
Firstpage
3516
Lastpage
3518
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location
Taiyuan
Print_ISBN
978-1-4577-2073-4
Type
conf
DOI
10.1109/CCDC.2012.6244562
Filename
6244562
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