Title :
Input-to-state dynamical stability of interconnected systems
Author :
Dashkovskiy, Sergey N. ; Naujok, Lars
Author_Institution :
Zentrum fur Technomathematik, Univ. Bremen, Bremen, Germany
Abstract :
We consider networks of input-to-state dynamically stable (ISDS) systems and provide a small gain condition under which the entire network is again ISDS. A Lyapunov formulation of the nonlinear small gain theorem for two interconnected ISDS systems is proved. It provides a constructive method to find an ISDS Lyapunov function for such an interconnection.
Keywords :
Lyapunov methods; interconnected systems; nonlinear control systems; stability; ISDS Lyapunov function; input-to-state dynamical stability; interconnected systems; nonlinear small gain theorem; small gain condition; Fading; Interconnected systems; Lyapunov method; Nonlinear systems; Stability analysis; Time measurement;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400827
