| Title | Stability of sets for nonlinear systems in cascade |
| Publication Type | Conference Paper |
| Year of Publication | 2006 |
| Conference Name | MTNS 2006 |
| Date Published | July |
| Publication Language | eng |
| Authors | Chaillet, A, Panteley, E |
| Conference Location | Kyoto, Japan |
| Keywords | Robotics |
| Abstract | 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. |