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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 1, Pages 195–211 (Mi smj2524)  
This article is cited in 1 scientific paper (total in 1 paper)

Coefficient conditions for existence of an optimal control for systems of differential equations

A. N. Stanzhytskyi, E. A. Samoĭlenko

Taras Shevchenko National University, Kyiv, Ukraine
Full-text PDF (320 kB) Citations (1)
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Abstract: For systems of ordinary differential equations, we obtain some sufficient conditions of existence of an optimal control in terms of their right-hand sides and the cost functional with the use of compactness methods. In the theorems proven, either the time interval is finite and a solution belongs to some domain or the time interval coincides with the semiaxis.
Keywords: optimal control, theorems of existence of an optimal control, exit time, minimizing sequence.
Received: 18.07.2012
Revised: 19.09.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 1, Pages 156–170
DOI: https://doi.org/10.1134/S0037446614010182
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. N. Stanzhytskyi, E. A. Samoǐlenko, “Coefficient conditions for existence of an optimal control for systems of differential equations”, Sibirsk. Mat. Zh., 55:1 (2014), 195–211; Siberian Math. J., 55:1 (2014), 156–170
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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