Nonsmooth Integral Guiding Potentials in the Problem of the Asymptotic Behavior of Trajectories of Some Classes of Functional Differential Inclusions

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 guiding potent...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 283; no. 3; pp. 359 - 365
Main Authors Bezmelnitsyna, Yu. E., Kornev, S. V., Obukhovskii, V. V.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 10.08.2024
Springer
Springer Nature B.V
Subjects
Asymptotic methods
Asymptotic properties
Control systems
Differential equations
Hand tools
Inclusions
Mathematics
Mathematics and Statistics
Trajectory control
34C37
asymptotic behavior
34K09
34E10
functional differential inclusion
normal multimapping
nonsmooth integral guiding potential
34H15
34A60
34D05
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Summary: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 guiding potentials.
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ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07262-2