Analysis of Discrete and Hybrid Stochastic Systems by Nonlinear Contraction Theory

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dc.creatorPham, Quang-Cuong
dc.date2008-04-06
dc.date.accessioned2026-07-07T09:30:45Z
dc.date.available2026-07-07T09:30:45Z
dc.descriptionWe investigate the stability properties of discrete and hybrid stochastic nonlinear dynamical systems. More precisely, we extend the stochastic contraction theorems (which were formulated for continuous systems) to the case of discrete and hybrid resetting systems. In particular, we show that the mean square distance between any two trajectories of a discrete (or hybrid resetting) contracting stochastic system is upper-bounded by a constant after exponential transients. Using these results, we study the synchronization of noisy nonlinear oscillators coupled by discrete noisy interactions.
dc.description6 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0804.0934
dc.identifierhttp://arxiv.org/abs/0804.0934
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158220
dc.subjectOptimization and Control
dc.subjectProbability
dc.titleAnalysis of Discrete and Hybrid Stochastic Systems by Nonlinear Contraction Theory
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