Construction of Lyapunov-Krasovskii functionals for networks of iISS retarded systems in small-gain formulation

Hiroshi Ito, Zhong Ping Jiang, Pierdomenico Pepe

Research output: Contribution to journalArticle


This paper tackles a problem of verifying stability of retarded dynamical networks in a dissipative formulation. 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. A small-gain methodology is developed for constructing a Lyapunov-Krasovskii functional to establish iISS of such a network.

Original languageEnglish (US)
Pages (from-to)3246-3257
Number of pages12
Issue number11
StatePublished - Nov 1 2013



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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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