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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 9, Pages 1471–1476
DOI: https://doi.org/10.7868/S0044466917090113 (Mi zvmmf10611) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The $p$-order maximum principle for an irregular optimal control problem

A. Prusinskaab, A. A. Tret'yakovbac

a University of Podlasie, 08-110 Siedlce, Poland
b System Research Institute, Polish Acad. Scie, Warsaw, Poland
c Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466917090113
Abstract: The general optimal control problem subject to irregular constraints is considered for which the factor of the objective functional in Pontryagin’s function may vanish. It turns out that, in the case of $p$-regular constraints, this drawback can be overcome and a constructive version of the $p$-order maximum principle can be formulated.
Key words: singular optimal control problem, $p$-regular Pontryagin’s maximum principle, generalized Lyusternik theory, $p$-order implicit function theorem.
Funding agency Grant number
Russian Foundation for Basic Research 14-07-00805_à
Ministry of Education and Science of the Russian Federation ÍØ-8860.2016.1
Russian Academy of Sciences - Federal Agency for Scientific Organizations 1.33 Ï ÐÀÍ
Received: 30.06.2015
Revised: 14.11.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 9, Pages 1453–1458
DOI: https://doi.org/10.1134/S0965542517090111
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. Prusinska, A. A. Tret'yakov, “The $p$-order maximum principle for an irregular optimal control problem”, Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017), 1471–1476; Comput. Math. Math. Phys., 57:9 (2017), 1453–1458
Citation in format AMSBIB
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    		Æóðíàë âû÷èñëèòåëüíîé ìàòåìàòèêè è ìàòåìàòè÷åñêîé ôèçèêè Computational Mathematics and Mathematical Physics
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