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
Recommended Citation
Malisoff, M. (2005). Further results on lyapunov functions and domains of attraction for perturbed asymptotically stable systems. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 12 (2), 193-225. Retrieved from https://repository.lsu.edu/mathematics_pubs/1020