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Lyapunov formulation of the large-scale, ISS cyclic-small-gain theorem: The discrete-time case

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


This paper presents a Lyapunov formulation of the cyclic-small-gain theorem for dynamical networks composed of discrete-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying the cyclic-small-gain condition are constructed from the ISS-Lyapunov functions of the subsystems.

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Systems and Control Letters
DOI: 10.1016/j.sysconle.2011.11.002


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