Further Remarks on Strict Input-to-State Stable Lyapunov Functions for Time-Varying Systems

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dc.creatorMalisoff, Michael
dc.creatorMazenc, Frederic
dc.date2004-11-07
dc.date.accessioned2026-07-07T06:21:48Z
dc.date.available2026-07-07T06:21:48Z
dc.descriptionWe study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given and posit a mild persistency of excitation condition on our given Lyapunov functions which guarantee the existence of strict ISS Lyapunov functions for our systems. Next, we provide simple direct constructions of explicit strict ISS Lyapunov functions for our systems by applying an integral smoothing method. We illustrate our constructions using a tracking problem for a rotating rigid body.
dc.description6 pages, submitted for publication in June 2004
dc.identifierhttps://arxiv.org/abs/math/0411150
dc.identifierhttp://arxiv.org/abs/math/0411150
dc.identifierAutomatica, Volume 41, Issue 11, pp. 1973-1978, November 2005
dc.identifierdoi:10.1016/j.automatica.2005.05.015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95718
dc.subjectOptimization and Control
dc.subject93D30
dc.titleFurther Remarks on Strict Input-to-State Stable Lyapunov Functions for Time-Varying Systems
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