Further Constructions of Control-Lyapunov Functions and Stabilizing Feedbacks for Systems Satisfying the Jurdjevic-Quinn Conditions

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dc.creatorMazenc, Frederic
dc.creatorMalisoff, Michael
dc.date2005-10-18
dc.date.accessioned2026-07-07T06:47:36Z
dc.date.available2026-07-07T06:47:36Z
dc.descriptionFor a broad class of nonlinear systems, we construct smooth control-Lyapunov functions whose derivatives along the trajectories of the systems can be made negative definite by smooth control laws that are arbitrarily small in norm. We assume our systems satisfy appropriate generalizations of the Jurdjevic-Quinn conditions. We also design state feedbacks of arbitrarily small norm that render our systems integral-input-to-state stable to actuator errors.
dc.description15 pages, 0 figures, accepted for publication in IEEE Transactions on Automatic Control in October 2005
dc.identifierhttps://arxiv.org/abs/math/0510379
dc.identifierhttp://arxiv.org/abs/math/0510379
dc.identifierIEEE Transactions on Automatic Control, Volume 51, Number 2, pp. 360-365, February 2006
dc.identifierdoi:10.1109/TAC.2005.863500
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103709
dc.subjectOptimization and Control
dc.subject93B52, 93D15, 93D20
dc.titleFurther Constructions of Control-Lyapunov Functions and Stabilizing Feedbacks for Systems Satisfying the Jurdjevic-Quinn Conditions
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