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|Title:||Singular linear-quadratic problem with a terminal condition|
|Authors:||Sesekin, A. N.|
Frolova, A. A.
|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).|
|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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