DocumentCode
646416
Title
A new stability result for switched linear systems
Author
Kouhi, Y. ; Bajcinca, N. ; Raisch, Jorg ; Shorten, Robert
Author_Institution
Control Syst. Group, Tech. Univ. Berlin, Berlin, Germany
fYear
2013
fDate
17-19 July 2013
Firstpage
2152
Lastpage
2156
Abstract
In this paper we extend the result by Shorten and Narendra on common quadratic Lyapunov functions for pairs of matrices in companion form. Specifically, we show that their result extends to more general matrix pairs provided that an associated transfer function matrix is symmetric. Examples are given to illustrate the usefulness of this result.
Keywords
Lyapunov methods; linear systems; stability; time-varying systems; transfer function matrices; general matrix pairs; quadratic Lyapunov functions; stability; switched linear systems; transfer function matrix; Eigenvalues and eigenfunctions; Linear matrix inequalities; Lyapunov methods; Switched systems; Switches; Symmetric matrices; Transfer functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2013 European
Conference_Location
Zurich
Type
conf
Filename
6669826
Link To Document