Converse Lyapunov Theorems for Switched Systems in Banach and Hilbert Spaces
β Scribed by Hante, Falk M.; Sigalotti, Mario
- Book ID
- 118205860
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2011
- Tongue
- English
- Weight
- 289 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0363-0129
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π SIMILAR VOLUMES
In this paper we present a converse Lyapunov theorem for uniform asymptotic stability of switched nonlinear systems. Its proof is a simple consequence of some results on converse Lyapunov theorems for systems with bounded disturbances obtained by Lin et al. (SIAM J. Control Optim. 34 (1996) 124 -160
We present a spectral mapping theorem for continuous semigroups of operators on any Banach space \(E\). The condition for the hyperbolicity of a semigroup on \(E\) is given in terms of the generator of an evolutionary semigroup acting in the space of \(E\)-valued functions. The evolutionary semigrou