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
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;
Conference_Titel :
Electric Information and Control Engineering (ICEICE), 2011 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-8036-4
DOI :
10.1109/ICEICE.2011.5777260
