A Lyapunov-Krasovskii methodology for iISS of time-delay systems

P. Pepe, Z. P. Jiang

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

Abstract

This paper presents a Lyapunov-Krasovskii methodology for studying the integral input-to-state stability of nonlinear time-delay systems. An integral input-state estimate which takes into account non-zero initial conditions is also proposed. The results are applied to a large class of bilinear time-delay systems.

Original languageEnglish (US)
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Pages4206-4211
Number of pages6
StatePublished - Dec 1 2006
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: Dec 13 2006Dec 15 2006

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other45th IEEE Conference on Decision and Control 2006, CDC
CountryUnited States
CitySan Diego, CA
Period12/13/0612/15/06

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Keywords

  • Functional differential equations
  • Input-to-State Stability (ISS)
  • Integral Input-to-State Stability (iISS)
  • Lyapunov-Krasovskii theorem
  • Nonlinear time-delay systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Pepe, P., & Jiang, Z. P. (2006). A Lyapunov-Krasovskii methodology for iISS of time-delay systems. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 4206-4211). [4177091] (Proceedings of the IEEE Conference on Decision and Control).