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HYBRID
2009
Springer
14 years 1 days 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
AUTOMATICA
2008
152views more  AUTOMATICA 2008»
13 years 7 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...
HYBRID
2010
Springer
14 years 17 days ago
A generating function approach to the stability of discrete-time switched linear systems
Exponential stability of switched linear systems under both arbitrary and proper switching is studied through two suitably defined families of functions called the strong and the...
Jianghai Hu, Jinglai Shen, Wei Zhang
CDC
2009
IEEE
181views Control Systems» more  CDC 2009»
14 years 5 days 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
CDC
2010
IEEE
125views Control Systems» more  CDC 2010»
13 years 2 months ago
Towards robust Lie-algebraic stability conditions for switched linear systems
This paper presents new sufficient conditions for exponential stability of switched linear systems under arbitrary switching, which involve the commutators (Lie brackets) among the...
Andrei A. Agrachev, Yuliy Baryshnikov, Daniel Libe...