Differentical equations, dynamical systems and optimal control

Existence and uniqueness of the solution of the adjoint system in one problem of optimal control

K. S. Musabekov

University named after Shokhan Ualikhanov, Abay Street, 76, 020000, Kokshetau State, Republic Kazakhstan

Abstract: In this paper the problem of optimal control of mathematical model of a non-adiabatic tubular reactor is considered. The proof of existence and uniqueness of the solution of the adjoint system in weight Hölder classes is carried out.

Keywords: mathematical model, chemical reactor, optimal control, functional, necessary condition of an optimality, maximum principle of Pontryagin, the adjoint system.

UDC: 517.977.56

MSC: 49J20

Received April 5, 2017, published September 25, 2018

DOI: 10.17377/semi.2018.15.089

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