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» Analysis of discrete-time piecewise affine and hybrid system...
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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
134views more  AUTOMATICA 2008»
13 years 5 months ago
Probabilistic reachability and safety for controlled discrete time stochastic hybrid systems
In this work, probabilistic reachability over a finite horizon is investigated for a class of discrete time stochastic hybrid systems with control inputs. A suitable embedding of ...
Alessandro Abate, Maria Prandini, John Lygeros, Sh...
HYBRID
2000
Springer
13 years 9 months ago
Optimization-Based Verification and Stability Characterization of Piecewise Affine and Hybrid Systems
In this paper, we formulate the problem of characterizing the stability of a piecewise affine (PWA) system as a verification problem. The basic idea is to take the whole Rn as the ...
Alberto Bemporad, Fabio Danilo Torrisi, Manfred Mo...
HYBRID
2010
Springer
13 years 7 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
129views Control Systems» more  CDC 2008»
13 years 7 months ago
Observer-based control of discrete-time piecewise affine systems: Exploiting continuity twice
Output-based feedback control of discrete-time hybrid systems is an important problem, as in practice it is rarely the case that the full state variable is available for feedback. ...
Maurice Heemels, Mircea Lazar, Nathan van de Wouw,...