Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102928
Title: Relaxation of the attainability problem for a linear control system of neutral type
Релаксация задачи о достижимости для линейной управляемой системы нейтрального типа
Authors: Chentsov, A. G.
Sesekin, A. N.
Issue Date: 2021
Publisher: Udmurt State University
Citation: Chentsov A. G. Relaxation of the attainability problem for a linear control system of neutral type / A. G. Chentsov, A. N. Sesekin. — DOI 10.35634/VM210106 // Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki. — 2021. — Vol. 31. — Iss. 1. — P. 70-88.
Abstract: The problem of control of a linear system of neutral type with impulse constraints is developed. In addition, a given system of intermediate conditions is assumed. A setting is investigated in which a vanishingly small relaxation of the mentioned restrictions is allowed. In this regard, the attainability domain (AD) at a fixed time of the end of the process is replaced by a natural asymptotic analog, the attraction set (AS). To construct the latter, we use the construction of an extension in the class of finitely additive (f.-a.) measures used as generalized controls. It is shown that the AS coincides with the AD of the system in the class of generalized controls - f.-a. measures. The structure of the mentioned AS is investigated. © 2021 Udmurt State University. All rights reserved.
Keywords: ATTRACTION SETS
FINITELY ADDITIVE MEASURES
LINEAR SYSTEMS WITH TIME DELAY OF NEUTRAL TYPE
URI: http://hdl.handle.net/10995/102928
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85105365894
PURE ID: 21198909
ISSN: 19949197
DOI: 10.35634/VM210106
metadata.dc.description.sponsorship: The study was funded by RFBR, projects number 19-01-00371.
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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