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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 12, Pages 2054–2064
DOI: https://doi.org/10.7868/S0044466916120024 (Mi zvmmf10494) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Optimality conditions of the maximum principle type in bilinear control problems

V. G. Antonik, V. A. Srochko

Irkutsk State University, Irkutsk, Russia
Full-text PDF (133 kB) Citations (5)
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DOI: https://doi.org/10.7868/S0044466916120024
Abstract: The optimization of a bilinear functional related to a linear state system with a modular control constraint is considered. Exact formulas for the functional increment are used to obtain sufficient conditions for the optimality of extremal controls that supplement the maximum principle. These conditions are represented in the form of inequalities and equalities for one-variable functions on a time interval. The optimization of a quadratic functional with the help of a matrix conjugate function is reduced to the bilinear case.
Key words: linear state system, bilinear functional, sufficient optimality conditions.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00564_а
Received: 15.12.2015
Revised: 04.04.2016
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 12, Pages 2023–2034
DOI: https://doi.org/10.1134/S0965542516120022
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: V. G. Antonik, V. A. Srochko, “Optimality conditions of the maximum principle type in bilinear control problems”, Zh. Vychisl. Mat. Mat. Fiz., 56:12 (2016), 2054–2064; Comput. Math. Math. Phys., 56:12 (2016), 2023–2034
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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