Stability analysis of gyroscopic systems with delay via decomposition

Research outputpeer-review

1 Citation (Scopus)


A mechanical system describing by the second order linear differential equations with a positive parameter at the velocity forces and with time delay in the positional forces is studied. Using the decomposition method and Lyapunov-Krasovskii functionals, conditions are obtained under which from the asymptotic stability of two auxiliary first order subsystems it follows that, for sufficiently large values of the parameter, the original system is also asymptotically stable. Moreover, it is shown that the proposed approach can be applied to the stability investigation of linear gyroscopic systems with switched positional forces.

Original languageEnglish
Title of host publicationEIGHTH POLYAKHOV'S READING
Subtitle of host publicationProceedings of the International Scientific Conference on Mechanics
EditorsE Kustova, G Leonov, N Morosov, M Yushkov, M Mekhonoshina
PublisherAmerican Institute of Physics
Number of pages6
ISBN (Electronic)9780735416604
ISBN (Print)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

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X


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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