A Generalization of Zubov's Method to Perturbed Systems

Titelangaben

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
A Generalization of Zubov's Method to Perturbed Systems.
Bayreuth , 2001

Volltext

	Format: PDF Name: gruene_et_al_siam_jco_2001.pdf Version: Veröffentlichte Version Verfügbar mit der Lizenz Creative Commons BY 4.0: Namensnennung
	Download (264kB)

Abstract

A generalization of Zubov's theorem on representing the domain of attraction via the solution of a suitable partial differential equation is presented for the case of perturbed systems with a singular fixed point. For the construction it is necessary to consider solutions in the viscosity sense. As a consequence maximal robust Lyapunov functions can be characterized as viscosity solutions.