On the asymptotic stability with respect to a part of variables of solutions of nonlinear systems with delay

A.Yu. Aleksandrov, E.B. Aleksandrova, A.P. Zhabko

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

A class of nonlinear time-delay systems is studied. With the aid of the Lyapunov direct method and the Razumikhin approach, conditions are found under which one can guarantee that the zero solutions of the considered systems are stable with respect to all variables and asymptotically stable with respect to a part of variables. An example is presented to demonstrate the effectiveness of the obtained results.
Original languageEnglish
Title of host publicationProc of the Int. conference "Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), 2016 International Conference"
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Print)ISBN Information: INSPEC Accession Number: 16229297
StatePublished - 2016
EventУстойчивость и колебания нелинейных систем управления: конференция Пятницкого - ИПУ РАН, Москва, Russian Federation
Duration: 1 Jun 20163 Jun 2016
Conference number: XIII
https://www.ipu.ru/node/35342

Conference

ConferenceУстойчивость и колебания нелинейных систем управления
Abbreviated titleSTAB16
CountryRussian Federation
CityМосква
Period1/06/163/06/16
Internet address

Keywords

  • Asymptotic stability
  • Stability analysis
  • Delays
  • Nonlinear systems
  • Lyapunov methods
  • Control systems
  • Differential equations

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