Title :
A Converse Lyapunov Theorem for Switched Linear Systems with Dwell Times
Author_Institution :
Hamilton Institute, NUI Maynooth, Maynooth, Co. Kildare, Ireland Fabian.Wirth@nuim.ie
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;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582883
