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

Tengfei Liu, David J. Hill, Zhong Ping Jiang

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137 Citations (Scopus)

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
Pages (from-to)2088-2093
Number of pages6
JournalAutomatica
Volume47
Issue number9
DOIs
Publication statusPublished - Sept 2011
Externally publishedYes

Keywords

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

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