This article is cited 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

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.

UDC: 517.977

Received: 18.07.2012
Revised: 19.09.2013

 English version: Siberian Mathematical Journal, 2014, 55:1, 156–170

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