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CDC
2009
IEEE
196views Control Systems» more  CDC 2009»
13 years 2 months ago
A computational stability analysis of discrete-time piecewise linear systems
A computational method for stability analysis of discrete-time piecewise linear systems is presented. The method is based on combining the solutions to two separate problems: one i...
Satyajit Arivukkodi Krishnamurthy, Ji-Woong Lee
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
STACS
2000
Springer
13 years 8 months ago
The Stability of Saturated Linear Dynamical Systems Is Undecidable
We prove that several global properties (global convergence, global asymptotic stability, mortality, and nilpotence) of particular classes of discrete time dynamical systems are un...
Vincent D. Blondel, Olivier Bournez, Pascal Koiran...
AUTOMATICA
2005
169views more  AUTOMATICA 2005»
13 years 4 months ago
Analysis of input-to-state stability for discrete time nonlinear systems via dynamic programming
This paper presents novel analysis results for input-to-state stability (ISS) that utilise dynamic programming techniques to characterise minimal ISS gains and transient bounds. Th...
Shoudong Huang, Matthew R. James, Dragan Nesic, Pe...
AUTOMATICA
2002
263views more  AUTOMATICA 2002»
13 years 4 months ago
Analysis of discrete-time piecewise affine and hybrid systems
In this paper we present various algorithms both for stability and performance analysis of discrete-time Piece-Wise Affine (PWA) systems. For stability, different classes of Lyapu...
Giancarlo Ferrari-Trecate, Francesco Alessandro Cu...