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Avtomatika i Telemekhanika, 2024, Issue 2, Pages 3–20
DOI: https://doi.org/10.31857/S0005231024020014 (Mi at16357) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear Systems

Stability of solutions to extremal problems with constraints based on λ-truncations

A. V. Arutyunov, S. E. Zhukovskiy, K. A. Tsarkov

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.31857/S0005231024020014
Abstract: In this paper, we consider finite- and infinite-dimensional optimization problems with constraints of general type. We obtain sufficient conditions for stability of a strict solution and conditions for stability of a set of solutions with more than one point in it according to small perturbations of the problem parameters. For finite-dimensional extremal problems with equality-type constraints, we obtain stability conditions based on the construction of λ-truncations of mappings.
Keywords: abstract optimization problems, extremal problems with constraints, solution stability.
Funding agency Grant number
Russian Science Foundation 20-11-20131
22-11-00042
Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 22.06.2023
Revised: 15.01.2024
Accepted: 20.01.2024
English version:
Automation and Remote Control, 2024, Volume 85, Issue 2, Pages 91–102
DOI: https://doi.org/10.1134/S0005117924020024
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Arutyunov, S. E. Zhukovskiy, K. A. Tsarkov, “Stability of solutions to extremal problems with constraints based on λ-truncations”, Avtomat. i Telemekh., 2024, no. 2, 3–20; Autom. Remote Control, 85:2 (2024), 91–102
Citation in format AMSBIB
\Bibitem{AruZhuTsa24}
\by A.~V.~Arutyunov, S.~E.~Zhukovskiy, K.~A.~Tsarkov
\paper Stability of solutions to extremal problems with constraints based on λ-truncations
\jour Avtomat. i Telemekh.
\yr 2024
\issue 2
\pages 3--20
\mathnet{http://mi.mathnet.ru/at16357}
\crossref{https://doi.org/10.31857/S0005231024020014}
\edn{https://elibrary.ru/UMNFFU}
\transl
\jour Autom. Remote Control
\yr 2024
\vol 85
\issue 2
\pages 91--102
\crossref{https://doi.org/10.1134/S0005117924020024}
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