A small-gain methodology for networks of iISS retarded systems based on Lyapunov-Krasovskii functionals

Hiroshi Ito, Zhong Ping Jiang, Pierdomenico Pepe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A problem of assessing stability of retarded dynamical networks is solved in this paper. Subsystems are assumed to be integral input-to-state stable (iISS). Time-delays are allowed to reside in both subsystems and interconnection channels, and may be both discrete and distributed. No assumption is made on the interconnection topology. This paper develops a small-gain methodology for constructing a Lyapunov-Krasovskii functional of such a network.

Original languageEnglish (US)
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Pages5100-5105
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
DOIs
StatePublished - 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume44
ISSN (Print)1474-6670

Keywords

  • Integral input-to-state stability (iISS)
  • Large-scale systems
  • Lyapunov-Krasovskii functionals
  • Nonlinear systems
  • Time delay

ASJC Scopus subject areas

  • Control and Systems Engineering

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