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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 11, Pages 86–90 (Mi ivm9178)  
Brief communications

An optimal control problem by parabolic equation in the class of smooth controls

A. V. Arguchintsev, V. P. Poplevko

Irkutsk State University, 1 K. Marks str., Irkutsk, 664003 Russia
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Abstract: We consider an optimal control problem by parabolic equation with differential constraint on the boundary. The problem is considered in the class of smooth controls. Functions of controls are satisfied by constraints in each point. Such problems describe the processes of mass transfer to the column of reverse mixing. We obtain a necessary optimality condition for the optimal control problem. We propose the method for improvement of admissible controls and carry out the numerical experiment.
Keywords: parabolic equation, smooth control, necessary optimality condition, numerical method.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00564
Presented by the member of Editorial Board: V. A. Srochko
Received: 20.06.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 11, Pages 74–77
DOI: https://doi.org/10.3103/S1066369X16110086
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. V. Arguchintsev, V. P. Poplevko, “An optimal control problem by parabolic equation in the class of smooth controls”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 11, 86–90; Russian Math. (Iz. VUZ), 60:11 (2016), 74–77
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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