DocumentCode
404549
Title
Stability analysis of discontinuous dynamical systems determined by semigroups
Author
Michel, Anthony N. ; Sun, Ye
Author_Institution
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
Volume
2
fYear
2003
fDate
9-12 Dec. 2003
Firstpage
1669
Abstract
We present Lyapunov stability and boundedness results for discontinuous dynamical systems (DDS) determined by linear and nonlinear semigroups defined on Banach space. DDS of the type considered herein arise in the modeling of a variety of finite dimensional and infinite dimensional systems, including certain classes of hybrid systems, discrete event systems, switched systems, systems subjected to impulse effects, and the like. We apply our results in the analysis of important specific classes of DDS.
Keywords
Banach spaces; Lyapunov methods; discrete event systems; multidimensional systems; stability; time-varying systems; Banach space; Lyapunov stability; discontinuous dynamical systems; discrete event systems; finite dimensional systems; hybrid systems; infinite dimensional systems; linear semigroups; nonlinear semigroups; stability analysis; switched systems; Differential equations; Discrete event systems; Hilbert space; Lyapunov method; Motion analysis; Stability analysis; Sun;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7924-1
Type
conf
DOI
10.1109/CDC.2003.1272852
Filename
1272852
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