Sciweavers

108 search results - page 1 / 22
» On parameterized Lyapunov and control Lyapunov functions for...
Sort
View
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
2008
IEEE
236views Control Systems» more  CDC 2008»
13 years 11 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo
CDC
2010
IEEE
129views Control Systems» more  CDC 2010»
12 years 12 months ago
On parameterized Lyapunov and control Lyapunov functions for discrete-time systems
This paper deals with the existence and synthesis of parameterized-(control) Lyapunov functions (p-(C)LFs) for discrete-time nonlinear systems that are possibly subject to constrai...
Mircea Lazar, Rob H. Gielen
AUTOMATICA
2008
126views more  AUTOMATICA 2008»
13 years 5 months ago
Local stability analysis using simulations and sum-of-squares programming
The problem of computing bounds on the region-of-attraction for systems with polynomial vector fields is considered. Invariant subsets of the region-of-attraction are characterize...
Ufuk Topcu, Andrew K. Packard, Peter Seiler
CDC
2010
IEEE
124views Control Systems» more  CDC 2010»
12 years 12 months ago
A relaxation of Lyapunov conditions and controller synthesis for discrete-time periodic systems
This paper proposes a novel approach to stability analysis and controller synthesis for discrete-time periodically time-varying systems. Firstly, a relaxation of standard Lyapunov ...
Christoph Bohm, Mircea Lazar, Frank Allgöwer