A new Lyapunov-Krasovskii methodology for coupled delay differential difference equations

P. Pepe, Z. P. Jiang, E. Fridman

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

Abstract

In this paper a new Lyapunov-Krasovskii methodology for nonlinear coupled delay differential difference equations is proposed. This methodology is based on the concept of input-to-state stability applied to the difference equation, for which a sufficient Lyapunov criterion is given, and on previous methodologies developed in the literature for linear delay descriptor systems.

Original languageEnglish (US)
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Pages2565-2570
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

  • Continuous time difference equations
  • Input-to-state stability
  • Lyapunov's second method
  • 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., & Fridman, E. (2006). A new Lyapunov-Krasovskii methodology for coupled delay differential difference equations. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 2565-2570). [4177090] (Proceedings of the IEEE Conference on Decision and Control).