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 journalArticlepeer-review

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

Keywords

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

ASJC Scopus subject areas

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

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