Synthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems

Research output: Contribution to conferencePaperpeer-review

4 Scopus citations

Abstract

The paper presents a new criterion for exponential stability of linear neutral type time delay systems. It is based on the idea to supplement one of the classical conditions of the Krasovskii theorem, namely the positive definiteness of the functional, by a special set of functions satisfying a Razumikhin-type inequality and a similar inequality on the derivative. A functional, whose derivative is given as a negative definite quadratic form, is used. It is shown that this functional admits a quadratic lower bound on the mentioned set of functions.

Original languageEnglish
Pages375-380
Number of pages6
DOIs
StatePublished - 16 Dec 2016
Event20th International Conference on System Theory, Control and Computing, ICSTCC 2016 - Sinaia, Romania
Duration: 12 Oct 201614 Oct 2016
http://ace.ucv.ro/icstcc2016/

Conference

Conference20th International Conference on System Theory, Control and Computing, ICSTCC 2016
CountryRomania
CitySinaia
Period12/10/1614/10/16
Internet address

Scopus subject areas

  • Computational Theory and Mathematics
  • Control and Systems Engineering

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