Title :
On input-to-state stability for time varying nonlinear systems
Author :
Edwards, Heather A. ; Lin, Yuandan ; Wang, Yuan
Author_Institution :
Dept. of Math., Central Florida Univ., Orlando, FL, USA
Abstract :
Input-to-state stability was introduced about 10 years ago. This notion is nowadays a central concept in the analysis of nonlinear systems. However, most theoretical developments dealt mainly with time invariant systems. In this work we study the Lyapunov characterizations of input-to-state stability for time varying nonlinear systems, and in particular, for periodic time varying systems. We also present a small gain theorem for time varying nonlinear systems
Keywords :
Lyapunov methods; nonlinear systems; periodic control; stability; time-varying systems; Lyapunov method; input-to-state stability; nonlinear systems; periodic systems; time varying systems; Feedback; Lyapunov method; Mathematics; Nonlinear systems; Stability; System analysis and design; Time invariant systems; Time varying systems; Trajectory;
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.2000.912246
