Lyapunov formulation of the large-scale, ISS cyclic-small-gain theorem

Liu, Tengfei; Hill, David J.; Jiang, Zhong Ping

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Lyapunov formulation of the large-scale, ISS cyclic-small-gain theorem

Date

2012

Authors

Liu, Tengfei

Hill, David J.

Jiang, Zhong Ping

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.