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AUTOMATICA
2008
112views more  AUTOMATICA 2008»
13 years 3 months ago
Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
Counterexamples are given which show that a linear switched system (with controlled switching) that can be stabilized by means of a suitable switching law does not necessarily admi...
Franco Blanchini, Carlo Savorgnan
HYBRID
2009
Springer
13 years 9 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»
13 years 9 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...
AUTOMATICA
2008
152views more  AUTOMATICA 2008»
13 years 4 months ago
A design methodology for switched discrete time linear systems with applications to automotive roll dynamics control
In this paper we consider the asymptotic stability of a class of discrete-time switching linear systems, where each of the constituent subsystems is Schur stable. We first present...
Selim Solmaz, Robert Shorten, Kai Wulff, Fiacre &O...