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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 10 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...
CDC
2010
IEEE
164views Control Systems» more  CDC 2010»
13 years 5 days ago
Stabilization of polytopic delay difference inclusions: Time-varying control Lyapunov functions
This paper studies stabilization of polytopic delay difference inclusions via the Razumikhin approach. An example of a linear delay difference equation that is globally exponential...
Rob H. Gielen, Mircea Lazar
AUTOMATICA
2008
152views more  AUTOMATICA 2008»
13 years 5 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...
CDC
2009
IEEE
181views Control Systems» more  CDC 2009»
13 years 10 months ago
Stability of switched linear systems and the convergence of random products
— In this paper we give conditions that a discrete time switched linear systems must satisfy if it is stable. We do this by calculating the mean and covariance of the set of matr...
Ning Wang, Magnus Egerstedt, Clyde F. Martin