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
A generalization of Zubov's method to perturbed systems / Camilli, Fabio; Lars, Gruene; Fabian, Wirth. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - STAMPA. - 40:(2001), pp. 496-515. [10.1137/S036301299936316X]
A generalization of Zubov's method to perturbed systems
CAMILLI, FABIO;
2001
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 solutionsFile allegati a questo prodotto
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