Title :
A nonlinear small-gain theorem for large-scale time delay systems
Author :
Tiwari, Shanaz ; Wang, Yuan ; Jiang, Zhong-Ping
Author_Institution :
Dept. of Math. Sci., Florida Atlantic Univ., Boca Raton, FL, USA
Abstract :
This paper extends the nonlinear ISS small-gain theorem to a large-scale time delay system composed of three or more subsystems. En route to proving this small-gain theorem for systems of differential equations with delays, a small-gain theorem for operators is examined. The result developed for operators allows applications to a wide class of systems, including state space systems with delays.
Keywords :
delay systems; delays; differential equations; large-scale systems; theorem proving; delays; differential equations; large scale time delay systems; nonlinear ISS small gain theorem; state space systems; theorem proving; Control design; Control systems; Delay effects; Delay systems; Differential equations; Interconnected systems; Large-scale systems; Networked control systems; Stability analysis; State-space methods;
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.2009.5400487
