Control Lyapunov Functionals and Robust Stabilization of Nonlinear Time-Delay Systems

Iasson Karafyllis, Zhong Ping Jiang

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

Abstract

In this work, we provide necessary and sufficient Lyapunov-like conditions for the existence of a stabilizing feedback law for uncertain control systems described by Retarded Functional Differential Equations. A methodology for the construction of Control Lyapunov Functionals for uncertain triangular nonlinear time-delay systems is provided. Moreover, the method leads to the explicit design of robust nonlinear controllers for the class of time-delay nonlinear systems with a triangular structure.

Original languageEnglish (US)
Title of host publicationProceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Pages5312-5317
Number of pages6
DOIs
StatePublished - 2008
Event47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico
Duration: Dec 9 2008Dec 11 2008

Publication series

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

Other

Other47th IEEE Conference on Decision and Control, CDC 2008
CountryMexico
CityCancun
Period12/9/0812/11/08

ASJC Scopus subject areas

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

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  • Cite this

    Karafyllis, I., & Jiang, Z. P. (2008). Control Lyapunov Functionals and Robust Stabilization of Nonlinear Time-Delay Systems. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 (pp. 5312-5317). [4738631] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2008.4738631