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Lyapunov Formulation of ISS Small-gain in Dynamical Networks

Liu, Tengfei; Hill, David; Jiang, Zhong-Ping


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.

CollectionsANU Research Publications
Date published: 2009
Type: Conference paper
Source: Proceedings of IEEE Conference on Decision and Control and Chinese Control Conference 2009
DOI: 10.1109/CDC.2009.5400647


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