DocumentCode
2821266
Title
On the construction of quadratically stable switched linear systems with multiple component systems
Author
Pendharkar, Ishan ; Wulff, Kai ; Raisch, Jörg
Author_Institution
Tech. Univ. of Berlin, Berlin
fYear
2007
fDate
12-14 Dec. 2007
Firstpage
6274
Lastpage
6279
Abstract
We consider the stability of switched linear systems with multiple component systems of the n-th order. Using ideas from dissipative dynamical systems we construct a set of LTI systems sharing a quadratic Lyapunov function. Switched systems composed of subsystems from this set are exponentially stable for arbitrary switching sequences.
Keywords
Lyapunov methods; linear systems; time-varying systems; arbitrary switching sequences; dissipative dynamical systems; multiple component systems; quadratic Lyapunov function; quadratically stable switched linear systems; Contracts; Control systems; Equations; Linear matrix inequalities; Linear systems; Lyapunov method; Signal mapping; Stability analysis; Switched systems; USA Councils;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2007 46th IEEE Conference on
Conference_Location
New Orleans, LA
ISSN
0191-2216
Print_ISBN
978-1-4244-1497-0
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2007.4434421
Filename
4434421
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