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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 10, Pages 1670–1680
DOI: https://doi.org/10.7868/S004446691510004X (Mi zvmmf10281) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Sufficient optimality conditions for a class of nonconvex control problems

E. V. Aksenyushkinaa, V. A. Srochkob

a Baikal State University of Economics and Law, ul. Lenina 11, Irkutsk, 664015, Russia
b Irkutsk State University, ul. K. Marksa 1, Irkutsk, 664003, Russia
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DOI: https://doi.org/10.7868/S004446691510004X
Abstract: The optimization of a bilinear-quadratic functional with respect to a linear phase system with a modulus control constraint is considered. Special representations of the cost functional are used to obtain sufficient optimality conditions for certain classes of extremal controls in the form of sign definiteness inequalities for functions of one and two variables. These conditions are as easy to implement numerically as verifying controls for extremeness.
Key words: linear phase system, nonconvex optimization problem, extremal controls, sufficient optimality conditions.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00564
Received: 15.12.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 10, Pages 1642–1652
DOI: https://doi.org/10.1134/S0965542515100048
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: E. V. Aksenyushkina, V. A. Srochko, “Sufficient optimality conditions for a class of nonconvex control problems”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015), 1670–1680; Comput. Math. Math. Phys., 55:10 (2015), 1642–1652
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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