A generalization of Zubov's method to perturbed systems

Authors
Camilli, F Grune, L Wirth, F
Citation
F. Camilli et al., A generalization of Zubov's method to perturbed systems, SIAM J CON, 40(2), 2001, pp. 496-515
Citations number
27
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN journal
03630129 → ACNP
Volume
40
Issue
2
Year of publication
2001
Pages
496 - 515
Database
ISI
SICI code
0363-0129(20010830)40:2<496:AGOZMT>2.0.ZU;2-G
Abstract
A generalization of Zubov's theorem on representing the domain of attractio n via the solution of a suitable partial differential equation is presented for the case of perturbed systems with a singular fixed point. For the con struction it is necessary to consider solutions in the viscosity sense. As a consequence, maximal robust Lyapunov functions can be characterized as vi scosity solutions.