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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 186, Pages 13–20
DOI: https://doi.org/10.36535/0233-6723-2020-186-13-20 (Mi into707) 		 
Nonsmooth integral direction potentials in the problem of the asymptotic behavior of trajectories of some classes of functional differential inclusions

Yu. E. Bezmelnitsyna, S. V. Kornev, V. V. Obukhovskii

Voronezh State Pedagogical University
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DOI: https://doi.org/10.36535/0233-6723-2020-186-13-20
Abstract: In this paper, we present new methods for solving the problem of the asymptotic behavior of trajectories of control systems governed by functional differential inclusions with nonconvex-valued right-hand sides. The main tool for solving this problem is the method of nonsmooth integral directing potentials.
Keywords: asymptotic behavior, functional differential inclusion, normal multimap, nonsmooth integral directing potential.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.3464.2017/4.6
This work was supported by the Ministry of Education and Science of the Russian Federation (project No. 1.3464.2017/4.6) and the Russian Foundation for Basic Research (project No. 17-51-52022).
Document Type: Article
UDC: 517.911.5
MSC: 34K09, 34C37, 34A60, 34D05, 34E10, 34H15
Language: Russian
Citation: Yu. E. Bezmelnitsyna, S. V. Kornev, V. V. Obukhovskii, “Nonsmooth integral direction potentials in the problem of the asymptotic behavior of trajectories of some classes of functional differential inclusions”, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 186, VINITI, Moscow, 2020, 13–20
Citation in format AMSBIB
\Bibitem{BezKorObu20}
\by Yu.~E.~Bezmelnitsyna, S.~V.~Kornev, V.~V.~Obukhovskii
\paper Nonsmooth integral direction potentials in the problem of the asymptotic behavior of trajectories of some classes of functional differential inclusions
\inbook Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 186
\pages 13--20
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into707}
\crossref{https://doi.org/10.36535/0233-6723-2020-186-13-20}
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