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Title: Singular linear-quadratic problem with a terminal condition
Authors: Sesekin, A. N.
Frolova, A. A.
Issue Date: 2021
Publisher: American Institute of Physics Inc.
Citation: Sesekin A. N. Singular linear-quadratic problem with a terminal condition / A. N. Sesekin, A. A. Frolova. — DOI 10.1063/5.0041692 // AIP Conference Proceedings. — 2021. — Vol. 2333. — 040006.
Abstract: A singular linear-quadratic optimization problem with a terminal condition is considered. This problem in the space of absolutely continuous functions has no solutions. To ensure the existence of a solution, it is necessary to extend the set of admissible controls. In the case under consideration, we consider the generalized derivatives of functions of bounded variation as admissible controls. As a result, valid controls may contain impulse components. Under some assumptions, an optimal control is constructed containing impulse components at the initial and final instants of time. An illustrative example is provided. © 2021 Author(s).
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85102764179
WOS ID: 000664205600017
PURE ID: 21043210
ISSN: 0094243X
ISBN: 9780735440777
DOI: 10.1063/5.0041692
metadata.dc.description.sponsorship: The research was supported by Russian Foundation for Basic Research, project no. 19-01-00371 and by Act 211 Government of the Russian Federation, contract 02.A03.21.0006.
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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