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
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;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434421
