Title :
Lyapunov formulation of ISS small-gain in dynamical networks
Author :
Liu, Tengfei ; Hill, David J. ; Jiang, Zhong-Ping
Author_Institution :
Res. Sch. of Inf. Sci. & Eng., Australian Nat. Univ., Canberra, ACT, Australia
Abstract :
This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of interconnected input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying cyclic-small-gain are constructed from the ISS-Lyapunov functions of the subsystems.
Keywords :
Lyapunov methods; interconnected systems; ISS small-gain; ISS subsystem; Lyapunov formulation; Lyapunov function; cyclic-small-gain theorem; general dynamical network; interconnected input-to-state stable subsystem; large-scale system; Large-scale systems;
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.2009.5400647
