Elsevier

Automatica

Volume 32, Issue 8, August 1996, Pages 1211-1215
Automatica

Brief paper
A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems

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Abstract

The goal of this paper is to provide a Lyapunov statement and proof of the recent nonlinear small-gain theorem for interconnected input/state-stable (ISS) systems. An ISS-Lyapunov function for the overall system is obtained from the corresponding Lyapunov functions for both the subsystems.

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The preliminary version of this paper was presented at the IFAC Symposium on Nonlinear Control Systems Design (NOLCOS'95), which was held in Tahoe City, California, U.S.A., during 25–28 June 1995. The Published Proceedings of this IFAC meeting may be ordered from Elsevier Science Limited, The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, U.K. This paper was recommended for publication in revised form by Associate Editor Alberto Isidori under the direction of Editor Tamer Basar.

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