Existence of a solution to a system of equations in variations in an optimal control problem

K. S. Musabekov

Kokshetau State University named after S. Ualikhanov, ul. Abay 76, Kokshetau 020000, Kazakhstan

Abstract: We consider an optimal control problem for some mathematical problem of a chemical reactor. We prove the existence of a solution to the system in variations which arises in deriving a necessary optimality condition in the form of the Pontryagin Maximum Principle.

Keywords: mathematical model, chemical reactor, optimal control, functional, necessary optimality condition, Pontryagin Maximum Principle.

UDC: 517.977.57:517.95

Received: 16.07.2020
Revised: 02.10.2020
Accepted: 15.10.2020

DOI: 10.33048/SIBJIM.2021.24.104

 English version: Journal of Applied and Industrial Mathematics, 2021, 15:1, 62–77

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