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

Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 186 (2020), pp. 13-20.

Résumé

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.

Détail

Keywords: asymptotic behavior, functional differential inclusion, nonsmooth integral directing potential.
Mots-clés : normal multimap

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