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Lyapunovformulation of ISScyclic-small-gain in continuous-timedynamical networks

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

Description

This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions are constructed from the ISS-Lyapunov functions of the subsystems.

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/64734
Source: Automatica
DOI: 10.1016/j.automatica.2011.06.018

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