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HYBRID
2009
Springer
13 years 12 months ago
Decompositional Construction of Lyapunov Functions for Hybrid Systems
In this paper, we present an automatable decompositional method for the computation of Lyapunov functions for hybrid systems with complex discrete state spaces. We use graph-based ...
Jens Oehlerking, Oliver E. Theel
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
AUTOMATICA
2008
146views more  AUTOMATICA 2008»
13 years 5 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
2007
Springer
13 years 11 months ago
A Controller Design Method Under Infrequent, Asynchronous Sensing
Abstract. We use discrete quadratic Lyapunov functions to design controllers for a class of systems where time intervals between state measurements are longer than time intervals b...
Fumin Zhang, Naomi Ehrich Leonard
AUTOMATICA
2006
95views more  AUTOMATICA 2006»
13 years 5 months ago
Further results on strict Lyapunov functions for rapidly time-varying nonlinear systems
We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentim...
Frédéric Mazenc, Michael Malisoff, M...