DocumentCode
3165038
Title
Quadratic and Copositive Lyapunov Functions and the Stability of Positive Switched Linear Systems
Author
Mason, Oliver ; Shorten, Robert
fYear
2007
fDate
9-13 July 2007
Firstpage
657
Lastpage
662
Abstract
We present some new results concerning the stability of positive switched linear systems. In particular, we present a necessary and sufficient condition for the existence of copositive linear Lyapunov functions for switched systems with two constituent linear time-invariant (LTI) systems. We also extend some recent results on quadratic stability for positive switched linear systems.
Keywords
Lyapunov methods; asymptotic stability; linear systems; time-varying systems; asymptotic stability; constituent LTI systems; copositive Lyapunov functions; linear time-invariant systems; positive switched linear system stability; quadratic Lyapunov functions; Asymptotic stability; Cities and towns; Control systems; Eigenvalues and eigenfunctions; Linear systems; Lyapunov method; Switched systems; Systems biology; Vectors; Writing;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2007. ACC '07
Conference_Location
New York, NY
ISSN
0743-1619
Print_ISBN
1-4244-0988-8
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2007.4282527
Filename
4282527
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