Section
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Mathematics
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Title
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Relaxation of the attainability problem for a linear control system of neutral type
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Author(-s)
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Chentsov A.G.ab,
Sesekin A.N.ab
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Affiliations
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Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciencesa,
Ural Federal Universityb
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Abstract
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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.
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Keywords
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linear systems with time delay of neutral type, attraction sets, finitely additive measures
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UDC
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517.977
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MSC
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34A37, 34K06
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DOI
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10.35634/vm210106
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Received
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11 January 2021
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Language
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Russian
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Citation
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Chentsov A.G., Sesekin A.N. Relaxation of the attainability problem for a linear control system of neutral type, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2021, vol. 31, issue 1, pp. 70-88.
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References
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