DocumentCode
1644288
Title
Converse Lyapunov Theorem for Switched Stability of Switched Linear Systems
Author
Zhendong, Sun
Author_Institution
South China Univ. of Technol., Guangzhou
fYear
2007
Firstpage
678
Lastpage
680
Abstract
In this work, we prove that any switched asymptotically stable switched linear system admits a Lyapunov function that strictly decreases among at least one non-trivial state trajectory of the switched system. A stabilizing switching law is proposed based on the Lyapunov function.
Keywords
Lyapunov methods; asymptotic stability; linear systems; time-varying systems; asymptotical stability; converse Lyapunov theorem; nontrivial state trajectory; switched linear systems; Asymptotic stability; Automation; Control systems; Educational institutions; Linear systems; Lyapunov method; Sun; Switched systems; Switches; Lyapunov function; Switched Linear Systems; Switched stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference, 2007. CCC 2007. Chinese
Conference_Location
Hunan
Print_ISBN
978-7-81124-055-9
Electronic_ISBN
978-7-900719-22-5
Type
conf
DOI
10.1109/CHICC.2006.4347049
Filename
4347049
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