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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://elar.urfu.ru/handle/10995/102928 |
Access: | info:eu-repo/semantics/openAccess |
RSCI ID: | 45439908 |
SCOPUS ID: | 85105365894 |
WOS ID: | 000640022000006 |
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 ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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