| Further results on Lyapunov functions and domains of attraction for perturbed asymptotically stable systems (2008) | |||||||||||||||||
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| Abstract. We present new theorems characterizing robust Lyapunov functions and in-finite 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 repre-senting domains of attraction in terms of partial differential equation solutions. | |||||||||||||||||
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