01143nas a2200133   4500008004100000245005500041210005500096260002300151520069300174653001300867100001600880700001600896856009700912       2006                        eng d00aStability of sets for nonlinear systems in cascade0 aStability of sets for nonlinear systems in cascade  aKyoto, JapancJuly3 a<p>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.</p>
10aRobotics1 aChaillet, A1 aPanteley, E  uhttp://www.centropiaggio.unipi.it/publications/stability-sets-nonlinear-systems-cascade.html