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AUTOMATICA
2008
146views more  AUTOMATICA 2008»
13 years 4 months ago
Input-to-state stability and interconnections of discontinuous dynamical systems
In this paper we will extend the input-to-state stability (ISS) framework to continuous-time discontinuous dynamical systems (DDS) adopting piecewise smooth ISS Lyapunov functions...
W. P. M. H. Heemels, Siep Weiland
HYBRID
2010
Springer
13 years 6 months ago
On infinity norms as Lyapunov functions for piecewise affine systems
This paper considers off-line synthesis of stabilizing static feedback control laws for discrete-time piecewise affine (PWA) systems. Two of the problems of interest within this f...
Mircea Lazar, Andrej Jokic
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
AUTOMATICA
2008
106views more  AUTOMATICA 2008»
13 years 4 months ago
Constructive stabilization for quadratic input nonlinear systems
In this paper stabilization of nonlinear systems with quadratic multi-input is considered. With the help of control Lyapunov function (CLF), a constructive parameterization of con...
Jianghua Zhong, Daizhan Cheng, Xiaoming Hu
ATVA
2009
Springer
149views Hardware» more  ATVA 2009»
13 years 11 months ago
A Decompositional Proof Scheme for Automated Convergence Proofs of Stochastic Hybrid Systems
In this paper, we describe a decompositional approach to convergence proofs for stochastic hybrid systems given as probabilistic hybrid automata. We focus on a concept called “st...
Jens Oehlerking, Oliver E. Theel