TitleStability of sets for nonlinear systems in cascade
Publication TypeConference Paper
Year of Publication2006
Conference NameMTNS 2006
Date PublishedJuly
Publication Languageeng
AuthorsChaillet, A, Panteley, E
Conference LocationKyoto, Japan

The stability of (not necessarily compact) sets for nonlinear systems in cascade is addressed. It is proved that if two sets are globally asymptotically stable (GAS) for the subsystems taken separately then their cross-product is GAS for the corresponding cascade, provided that the solutions of the latter are globally bounded. In the case of a suitable growth rate of the interconnection in the state of the driven subsystem, we show that this latter requirement can be relaxed to just forward completeness of the cascade. Our results extend similar results on the stability analysis of cascaded systems and find applications in partial stability analysis and adaptive control.