The stability of difference systems with linear increasing time-delay

Research outputpeer-review

Abstract

In this paper we investigate a possibility of the linear difference system stabilization with time proportional delay. Using the Razumikhin's approach [1] and method of difference transformations [2] we obtain the sufficient conditions of the asymptotic stability of the system. Then we construct of the stabilizing control and derive the sufficient conditions for the existence of such control.

Original languageEnglish
Title of host publication2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509062607
DOIs
Publication statusPublished - 10 Jul 2017
Event2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017: dedicated to the Memory of V.F. Demyanov - Saint-Petersburg
Duration: 21 May 201726 May 2017
http://www.pdmi.ras.ru/EIMI/2017/CNSA/

Conference

Conference2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017
Abbreviated titleCNSA 2017
CountryRussian Federation
CitySaint-Petersburg
Period21/05/1726/05/17
Internet address

Scopus subject areas

  • Modelling and Simulation
  • Analysis
  • Applied Mathematics
  • Control and Optimization

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  • Cite this

    Zhabko, A., Chizhova, O., & Zaranik, U. (2017). The stability of difference systems with linear increasing time-delay. In 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings [7974034] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CNSA.2017.7974034