Common Polynomial Lyapunov Functions for Linear Switched Systems
نویسندگان
چکیده
منابع مشابه
Common Polynomial Lyapunov Functions for Linear Switched Systems
In this paper, we consider linear switched systems ẋ(t) = Au(t)x(t), x ∈ R, u ∈ U , and the problem of asymptotic stability for arbitrary switching functions, uniform with respect to switching (UAS for short). We first prove that, given a UAS system, it is always possible to build a common polynomial Lyapunov function. Then our main result is that the degree of that common polynomial Lyapunov f...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2006
ISSN: 0363-0129,1095-7138
DOI: 10.1137/040613147