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
Pages5100-5105
Number of pages6
Volume18
EditionPART 1
DOIs
StatePublished - 2011
Event18th IFAC World Congress - Milano, Italy
Duration: Aug 28 2011Sep 2 2011

Other

Other18th IFAC World Congress
CountryItaly
CityMilano
Period8/28/119/2/11

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Time delay
Topology

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

Cite this

Ito, H., Jiang, Z-P., & Pepe, P. (2011). A small-gain methodology for networks of iISS retarded systems based on Lyapunov-Krasovskii functionals. In Proceedings of the 18th IFAC World Congress (PART 1 ed., Vol. 18, pp. 5100-5105) https://doi.org/10.3182/20110828-6-IT-1002.00223

A small-gain methodology for networks of iISS retarded systems based on Lyapunov-Krasovskii functionals. / Ito, Hiroshi; Jiang, Zhong-Ping; Pepe, Pierdomenico.

Proceedings of the 18th IFAC World Congress. Vol. 18 PART 1. ed. 2011. p. 5100-5105.

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

Ito, H, Jiang, Z-P & Pepe, P 2011, A small-gain methodology for networks of iISS retarded systems based on Lyapunov-Krasovskii functionals. in Proceedings of the 18th IFAC World Congress. PART 1 edn, vol. 18, pp. 5100-5105, 18th IFAC World Congress, Milano, Italy, 8/28/11. https://doi.org/10.3182/20110828-6-IT-1002.00223
Ito, Hiroshi ; Jiang, Zhong-Ping ; Pepe, Pierdomenico. / A small-gain methodology for networks of iISS retarded systems based on Lyapunov-Krasovskii functionals. Proceedings of the 18th IFAC World Congress. Vol. 18 PART 1. ed. 2011. pp. 5100-5105
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