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

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We 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.
33 pages, 0 figures, accepted for publication in Dynamics of Continuous, Discrete, and Impulsive Systems Series A: Mathematical Analysis on August 16, 2002

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Optimization and Control, 49L25, 93D09, 93D30

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http://salesiana.dossiersoluciones.com/handle/123456789/95716

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311267
 http://arxiv.org/abs/math/0311267
 Dynamics of Continuous Discrete and Impulsive Systems Series A Mathematical Analysis, Volume 12, Number 2, pp. 193-225, 2005

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arXiv