Matrosov's theorem using a family of auxiliary functions: an analysis tool to aid time-varying nonlinear control design

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dc.creatorTeel, Andrew R.
dc.creatorLoria, Antonio
dc.creatorPanteley, Elena
dc.creatorPopovic, Dobrivoje
dc.date2003-04-18
dc.date.accessioned2026-07-07T04:57:01Z
dc.date.available2026-07-07T04:57:01Z
dc.descriptionWe present a new result on uniform attractivity of the origin for nonlinear time-varying systems. Our theorem generalizes Matrosov's theorem which extends, in a certain manner, Krasovskii-LaSalle invariance principle to the case of general nonlinear time-varying systems. We show the utility of our theorem by addressing a control problem of port interconnected driftless systems. The latter includes as special case, the control of chained-form nonholonomic systems which has been extensively studied in the literature.
dc.identifierhttps://arxiv.org/abs/math/0304255
dc.identifierhttp://arxiv.org/abs/math/0304255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67129
dc.subjectOptimization and Control
dc.subject37J60; 37C60; 37C75
dc.titleMatrosov's theorem using a family of auxiliary functions: an analysis tool to aid time-varying nonlinear control design
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