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HYBRID
2009
Springer
14 years 1 months ago
Stabilization of Discrete-Time Switched Linear Systems: A Control-Lyapunov Function Approach
This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. A number of versions of converse c...
Wei Zhang, Alessandro Abate, Jianghai Hu
CDC
2009
IEEE
160views Control Systems» more  CDC 2009»
14 years 1 months ago
On piecewise quadratic control-Lyapunov functions for switched linear systems
— In this paper, we prove that a discrete-time switched linear system is exponentially stabilizable if and only if there exists a stationary hybrid-control law that consists of a...
Wei Zhang, Alessandro Abate, Michael P. Vitus, Jia...
SIAMCO
2011
13 years 3 months ago
Converse Lyapunov Theorems for Switched Systems in Banach and Hilbert Spaces
Abstract. We consider switched systems on Banach and Hilbert spaces governed by strongly continuous one-parameter semigroups of linear evolution operators. We provide necessary and...
Falk M. Hante, Mario Sigalotti