Further Results on Strict Lyapunov Functions for Rapidly Time-Varying Nonlinear Systems

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dc.creatorMazenc, Frederic
dc.creatorMalisoff, Michael
dc.creatorde Queiroz, Marcio S.
dc.date2006-01-26
dc.date2006-06-23
dc.date.accessioned2026-07-07T06:59:21Z
dc.date.available2026-07-07T06:59:21Z
dc.descriptionWe explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting dynamics which we assume are uniformly globally asymptotically stable. This leads to new sufficient conditions for uniform global exponential, uniform global asymptotic, and input-to-state stability of fast time-varying dynamics. We also construct strict Lyapunov functions for our systems using a strictification approach. We illustrate our results using a friction control example.
dc.description10 pages, 0 figues, revised and accepted for publication as a regular paper in Automatica in May 2006. To appear in October 2006 issue
dc.identifierhttps://arxiv.org/abs/math/0601658
dc.identifierhttp://arxiv.org/abs/math/0601658
dc.identifierAutomatica, Volume 42, Issue 10, pp. 1663-1671, October 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107716
dc.subjectOptimization and Control
dc.subject34D20
dc.titleFurther Results on Strict Lyapunov Functions for Rapidly Time-Varying Nonlinear Systems
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