Constructions of Strict Lyapunov Functions for Discrete Time and Hybrid Time-Varying Systems

Simple item page
dc.creatorMalisoff, Michael
dc.creatorMazenc, Frederic
dc.date2006-10-06
dc.date.accessioned2026-07-07T08:08:14Z
dc.date.available2026-07-07T08:08:14Z
dc.descriptionWe provide explicit closed form expressions for strict Lyapunov functions for time-varying discrete time systems. Our Lyapunov functions are expressed in terms of known nonstrict Lyapunov functions for the dynamics and finite sums of persistency of excitation parameters. This provides a discrete time analog of our previous continuous time Lyapunov function constructions. We also construct explicit strict Lyapunov functions for systems satisfying nonstrict discrete time analogs of the conditions from Matrosov's Theorem. We use our methods to build strict Lyapunov functions for time-varying hybrid systems that contain mixtures of continuous and discrete time evolutions.
dc.description14 pages. Accepted for publication in Nonlinear Analysis: Hybrid Systems and Applications on September 6, 2006
dc.identifierhttps://arxiv.org/abs/math/0610210
dc.identifierhttp://arxiv.org/abs/math/0610210
dc.identifierNonlinear Analysis Hybrid Systems, published online February 20, 2007
dc.identifierdoi:10.1016/j.nahs.2006.12.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131197
dc.subjectOptimization and Control
dc.titleConstructions of Strict Lyapunov Functions for Discrete Time and Hybrid Time-Varying Systems
dc.typetext

Files

Collections

arXiv