DocumentCode
3119204
Title
A Converse Lyapunov Theorem for Switched Linear Systems with Dwell Times
Author
Wirth, Fabian
Author_Institution
Hamilton Institute, NUI Maynooth, Maynooth, Co. Kildare, Ireland Fabian.Wirth@nuim.ie
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
4572
Lastpage
4577
Abstract
We study linear switching systems, where time-variations have to satisfy restrictions on the dwell time, that is on the minimum distance between discontinuities. The main objective of the paper is to construct parameter dependent Lyapunov functions, which characterize the exponential growth rate. This is possible in the generic irreducible case.
Keywords
converse Lyapunov theorem; linear flows on vector bundles; linear parameter varying systems; linear switching systems; periodic systems; Linear systems; Lyapunov method; Stability; Switching systems; Time varying systems; Vectors; converse Lyapunov theorem; linear flows on vector bundles; linear parameter varying systems; linear switching systems; periodic systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN
0-7803-9567-0
Type
conf
DOI
10.1109/CDC.2005.1582883
Filename
1582883
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