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29 March 2024
 
  » arxiv » math.OC/0311267

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Further Results on Lyapunov Functions and Domains of Attraction for Perturbed Asymptotically Stable Systems
Michael Malisoff ;
Date 16 Nov 2003
Journal Dynamics of Continuous Discrete and Impulsive Systems Series A Mathematical Analysis, Volume 12, Number 2, pp. 193-225, 2005
Subject Optimization and Control MSC-class: 49L25, 93D09, 93D30 | math.OC
AbstractWe 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.
Source arXiv, math.OC/0311267
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