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HYBRID
2009
Springer
15 years 7 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»
15 years 7 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...
145
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SIAMCO
2011
14 years 10 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