S.SH. GADIROVA, K.B. MANSIMOV.
ON ONE CONTROL PROBLEM OF DISCRETE ROESSER SYSTEMS


The paper deals with an optimal control problem described by a system of Roesser difference equations. Subject to the openness of control domain, the necessary conditions are obtained in the terms of the first and second variation. Using these conditions, the extremal problem under consideration he necessary condition is obtained in the form of Euler equation. Then the constructively verifiable necessary optimality conditions were described.

Keywords: necessary optimality condition, Rosser system, discrete system, Euler equation, variation of the functional
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