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

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

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)266-272
Number of pages7
JournalSystems and Control Letters
Volume61
Issue number1
DOIs
StatePublished - Jan 2012

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Lyapunov functions

Keywords

  • Discrete-time
  • Dynamical networks
  • Input-to-state stability (ISS)
  • Lyapunov functions
  • Small-gain

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Computer Science(all)
  • Mechanical Engineering

Cite this

Lyapunov formulation of the large-scale, ISS cyclic-small-gain theorem : The discrete-time case. / Liu, Tengfei; Hill, David J.; Jiang, Zhong-Ping.

In: Systems and Control Letters, Vol. 61, No. 1, 01.2012, p. 266-272.

Research output: Contribution to journalArticle

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