K.B. Mansimov, I.F. Nagiyeva.
An analogue of Euler's equation and second-order necessary optimality conditions in one N.N. Moiseyev-type optimal control problem

We consider an optimal control problem described by a system of ordinary differential equations with a non-type, multipoint quality functional. An analogue of Euler's equation is proved under the assumption of openness of the control domain and a number of second-order necessary optimality conditions are established.

Keywords: Admissible control, Optimal control, Multipoint functional, Functional variation, Analogue of Euler's equation, Classical extremal, Classically singular controls

DOI: https://doi.org/10.54381/icp.2023.2.09
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