DocumentCode
3273370
Title
Existence of Common Lyapunov Function based on KKM lemma for switched Persidskii-type systems
Author
Chen, Yangzhou ; He, Zhonghe ; Aleksandrov, A.Yu.
Author_Institution
Sch. of Electron. Inf. & Control Eng., Beijing Univ. of Technol., Beijing, China
fYear
2011
fDate
15-17 April 2011
Firstpage
371
Lastpage
374
Abstract
The paper addresses the existence problem of the Common Lyapunov Function (CLF for short) for several classes of switched nonlinear systems, where each subsystem has the structure of Persidskii-type system. Some sufficient conditions are given via the variant of the well-known Knaster Kuratowski Mazurkiewicz (KKM for short) lemma, which guarantees the existence of the CLF of switched nonlinear systems, and moreover the constructive method for a CLF of the switched nonlinear system is presented.
Keywords
Lyapunov methods; nonlinear systems; KKM lemma; Knaster Kuratowski Mazurkiewicz; common Lyapunov function; switched Persidskii-type systems; switched nonlinear systems; Asymptotic stability; Lyapunov methods; Nonlinear systems; Numerical stability; Stability analysis; Switched systems; Switches; KKM lemma; Persidskii-type systems; common Lyapunov function; switched nonlinear systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Electric Information and Control Engineering (ICEICE), 2011 International Conference on
Conference_Location
Wuhan
Print_ISBN
978-1-4244-8036-4
Type
conf
DOI
10.1109/ICEICE.2011.5777260
Filename
5777260
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