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

Date

Authors

Liu, Tengfei

Hill, David

Jiang, Zhong-Ping

Publisher

Elsevier

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.

Keywords

Keywords: Discrete-time; Discrete-time case; Dynamical networks; Input to state stable; Input-to-state stability (ISS); ISS-Lyapunov functions; Lyapunov; Small-gain; Control; Electrical engineering; Lyapunov functions Discrete-time; Dynamical networks; Input-to-state stability (ISS); Lyapunov functions; Small-gain

URI

http://hdl.handle.net/1885/60562

Collections

ANU Research Publications

Source

Systems and Control Letters

Type

Journal article

DOI

10.1016/j.sysconle.2011.11.002

Restricted until

2037-12-31

Downloads

File

Description

01_Liu_Lyapunov_formulation_of_the_2012.pdf (357.96 KB)

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