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

Jiang, ZP
Liu, T
Hill, DJ

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Publication date

January 2012

DOI

10.1016/j.sysconle.2011.11.002

Publisher

Elsevier BV

ISSN

0167-6911

Journal

Systems & Control Letters

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Abstract

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. © 2011 Elsevier B.V. All rights reserved.link_to_subscribed_fulltex

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

Abstract

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

Abstract

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