On the issue of finding of the Lyapunov matrix for a class of linear system with delay

Research outputpeer-review


The construction of Lyapunov-Krasovskii functionals for linear time-delay system depends on so-called Lya-punov matrix. We study the problem of finding this matrix by solving the delay-free equations with specific boundary conditions. The special boundary conditions for the delay-free problem are found and it is shown, that the problem of Lyapunov matrix' finding as a solution of the boundary value problem with delay and the delay-free problem are equivalent.

Original languageEnglish
Title of host publication8th Polyakhov's Reading
Subtitle of host publicationProceedings of the International Scientific Conference on Mechanics
EditorsElena V. Kustova, Gennady A. Leonov, Mikhail P. Yushkov, Nikita F. Morosov, Mariia A. Mekhonoshina
PublisherAmerican Institute of Physics
ISBN (Electronic)9780735416604
Publication statusPublished - 2 May 2018
EventВосьмые Поляховские чтения: международная научная конференция по механике - Старый Петергоф, Saint Petersburg
Duration: 29 Jan 20182 Feb 2018
Conference number: 8


ConferenceInternational Scientific Conference on Mechanics - Eighth Polyakhov's Reading
CountryRussian Federation
CitySaint Petersburg
Internet address

Scopus subject areas

  • Physics and Astronomy(all)

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