Title :
On the existence of common Lyapunov triples for ISS and iISS switched systems
Author :
Mancilla-Aquilar, J.L. ; García, Rafael Antonio
Author_Institution :
Dept. de Matematica, Buenos Aires Univ., Argentina
Abstract :
We present converse Lyapunov theorems for input-to-state (ISS) and integral ISS (iISS) switched nonlinear systems. Their proofs are based on existing converse Lyapunov theorems for input-output-to-state stability and iISS nonlinear systems, and on the association of the switched system with a nonlinear system with inputs and disturbances that take values in a compact set
Keywords :
Lyapunov methods; control system analysis; nonlinear systems; stability; Lyapunov theorems; input-to-state stability; sufficient condition; switched nonlinear systems; Asymptotic stability; Control systems; Feedback; Intelligent control; Nonlinear control systems; Nonlinear systems; Sufficient conditions; Switched systems; Topology;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912247
