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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 121, Pages 31–43
DOI: https://doi.org/10.20310/1810-0198-2018-23-121-31-43
(Mi vtamu88)
 

Scientific articles

Integral guiding potentials in the problem of asymptotic behavior of solutions for functional differential inclusions

S. V. Kornev, V. V. Obukhovskii

Voronezh State Pedagogical University
References:
Abstract: The new method to solving the problem of the asymptotic behavior of trajectories for control systems governed by functional differential inclusions with convexvalued and nonconvex-valued right-hand sides is introduced. As the main tool of solving the problem the method of integral guiding potentials is applied. The application of this method makes it possible to establish estimates for the norms of trajectories for above systems.
Keywords: functional differential inclusion, asymptotic behavior of solutions, integral guiding potential.
Funding agency Grant number
Russian Foundation for Basic Research 17-51-52022
16-01-00370
16-01-00386
The work is partially supported by the Russian Fund for Basic Research (projects №№ 17-51-52022, 16-01-00370, 16-01-00386).
Received: 24.01.2018
Bibliographic databases:
Document Type: Article
UDC: 517.911
Language: Russian
Citation: S. V. Kornev, V. V. Obukhovskii, “Integral guiding potentials in the problem of asymptotic behavior of solutions for functional differential inclusions”, Tambov University Reports. Series: Natural and Technical Sciences, 23:121 (2018), 31–43
Citation in format AMSBIB
\Bibitem{KorObu18}
\by S.~V.~Kornev, V.~V.~Obukhovskii
\paper Integral guiding potentials in the problem of asymptotic behavior of solutions for functional differential inclusions
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 121
\pages 31--43
\mathnet{http://mi.mathnet.ru/vtamu88}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-121-31-43}
\elib{https://elibrary.ru/item.asp?id=32697171}
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