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 Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, Number 1(17), Pages 36–46 (Mi vtgu237)

MATHEMATICS

Resolvability of the optimum control problem for the ordinary differential equation of the second order with the Lions criterion of quality

N. M. Mahmudov, V. I. Salmanov

The Nakhichevan State University

Abstract: The work is devoted to the study of a problem of optimum control for ordinary differential equations of the second order with the Lions functional as a criterion of quality. The correctness of the problem of optimum control for ordinary differential equations of the second order is investigated and the theorems of existence and uniqueness for the solution of the problem of optimum control are proved.

Keywords: differential equation of the second order, optimum control, Lions criterion.

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UDC: 517.97

Citation: N. M. Mahmudov, V. I. Salmanov, “Resolvability of the optimum control problem for the ordinary differential equation of the second order with the Lions criterion of quality”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, no. 1(17), 36–46

Citation in format AMSBIB
\Bibitem{MahSal12} \by N.~M.~Mahmudov, V.~I.~Salmanov \paper Resolvability of the optimum control problem for the ordinary differential equation of the second order with the Lions criterion of quality \jour Vestn. Tomsk. Gos. Univ. Mat. Mekh. \yr 2012 \issue 1(17) \pages 36--46 \mathnet{http://mi.mathnet.ru/vtgu237}