A small-gain condition for iISS of interconnected retarded systems based on Lyapunov-Krasovskii functionals

Hiroshi Ito, Pierdomenico Pepe, Zhong Ping Jiang

Research output: Contribution to journalArticlepeer-review

Abstract

This paper considers interconnected retarded nonlinear systems. Integral input-to-state stable subsystems and the construction of Lyapunov-Krasovskii functionals for their interconnections are focused on. Both discrete and distributed time-delays in the subsystems and the communication channels are covered. This paper provides a sufficient small-gain type condition for the stability of the interconnected systems with respect to external inputs in the framework of Lyapunov-Krasovskii functionals. Global asymptotic stability is addressed as a special case which deals with time-varying delays in communication channels effectively.

Original languageEnglish (US)
Pages (from-to)1646-1656
Number of pages11
JournalAutomatica
Volume46
Issue number10
DOIs
StatePublished - Oct 2010

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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