Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks

Tengfei Liu, David J. Hill, Zhong Ping Jiang

Research output: Contribution to journalArticle

Abstract

This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions are constructed from the ISS-Lyapunov functions of the subsystems.

Original languageEnglish (US)
Pages (from-to)2088-2093
Number of pages6
JournalAutomatica
Volume47
Issue number9
DOIs
StatePublished - Sep 2011

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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