Title

Further results on lyapunov functions and domains of attraction for perturbed asymptotically stable systems

Document Type

Article

Publication Date

4-1-2005

Abstract

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. Copyright © 2005 Watam Press.

Publication Source (Journal or Book title)

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

First Page

193

Last Page

225

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