CONVERSE LYAPUNOV THEOREMS FOR SWITCHED SYSTEMS IN BANACH AND HILBERT SPACES

被引：30
|
作者：
Hante, Falk M. [1 ,2 ]
Sigalotti, Mario [1 ,2 ]
机构：
[1] Inst Elie Cartan, UMR 7502, F-54506 Vandoeuvre Les Nancy, France
[2] INRIA Nancy Grand Est, CORIDA, Villers Les Nancy, France
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2011年 / 49卷 / 02期
关键词：
switched systems; strongly continuous semigroups; Lyapunov function; exponential stability; DYNAMICAL-SYSTEMS; ASYMPTOTIC STABILITY; LINEAR-SYSTEMS; SEMIGROUPS; CRITERIA;
D O I：
10.1137/100801561
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider switched systems on Banach and Hilbert spaces governed by strongly continuous one-parameter semigroups of linear evolution operators. We provide necessary and sufficient conditions for their global exponential stability, uniform with respect to the switching signal, in terms of the existence of a Lyapunov function common to all modes.
引用
收藏
页码：752 / 770
页数：19
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