Further Results on Lyapunov Functions and Domains of Attraction for Perturbed Asymptotically Stable Systems

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dc.creatorMalisoff, Michael
dc.date2003-11-16
dc.date2003-11-18
dc.date.accessioned2026-07-07T06:21:47Z
dc.date.available2026-07-07T06:21:47Z
dc.descriptionWe present new theorems characterizing robust Lyapunov functions and infinite horizon value functions in optimal control as unique viscosity solutions of partial differential equations. We use these results to further extend Zubov's method for representing domains of attraction in terms of partial differential equation solutions.
dc.description33 pages, 0 figures, accepted for publication in Dynamics of Continuous, Discrete, and Impulsive Systems Series A: Mathematical Analysis on August 16, 2002
dc.identifierhttps://arxiv.org/abs/math/0311267
dc.identifierhttp://arxiv.org/abs/math/0311267
dc.identifierDynamics of Continuous Discrete and Impulsive Systems Series A Mathematical Analysis, Volume 12, Number 2, pp. 193-225, 2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95716
dc.subjectOptimization and Control
dc.subject49L25, 93D09, 93D30
dc.titleFurther Results on Lyapunov Functions and Domains of Attraction for Perturbed Asymptotically Stable Systems
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