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

Research output

4 Citations (Scopus)

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
Title of host publicationSynthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems
Pages375-380
Number of pages6
DOIs
Publication statusPublished - 16 Dec 2016
Event20th International Conference on System Theory, Control and Computing, ICSTCC 2016 - Sinaia
Duration: 12 Oct 201614 Oct 2016

Conference

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

Fingerprint

Time delay
Derivatives
Asymptotic stability

Scopus subject areas

  • Computational Theory and Mathematics
  • Control and Systems Engineering

Cite this

Alexandrova, I. V., & Zhabko, A. P. (2016). Synthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems. In Synthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems (pp. 375-380) https://doi.org/10.1109/ICSTCC.2016.7790694
Alexandrova, Irina V. ; Zhabko, Alexey P. / Synthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems. Synthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems. 2016. pp. 375-380
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Alexandrova, IV & Zhabko, AP 2016, Synthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems. in Synthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems. pp. 375-380, Sinaia, 12/10/16. https://doi.org/10.1109/ICSTCC.2016.7790694

Synthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems. / Alexandrova, Irina V.; Zhabko, Alexey P.

Synthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems. 2016. p. 375-380.

Research output

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AB - 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.

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Alexandrova IV, Zhabko AP. Synthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems. In Synthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems. 2016. p. 375-380 https://doi.org/10.1109/ICSTCC.2016.7790694