Cybernetics And Systems Analysis logo
Editorial Board Announcements Abstracts Authors archive
Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 917.977.5
Sharifov Ya.A.

SPECIAL CONTROL IN THE CLASSICAL SENSE OF AN OPTIMAL CONTROL PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS

Abstract. We consider an optimal control problem in which the states of the system are determined by the control systems of ordinary differential equations with two-point boundary conditions. Admissible controls are selected from the class of bounded measurable functions with values in an open set. We calculate the increment of the functional formula of the second order. We use variations of the control to derive the necessary optimality conditions for singular controls in the classical sense.

Keywords: singular controls, nonlocal boundary conditions, optimal control, necessary conditions.



FULL TEXT

Шарифов Ягуб Амияр оглы,
кандидат физ.-мат. наук, доцент Бакинского государственного университета,
e-mail: sharifov22@rambler.ru.

© 2017 Kibernetika.org. All rights reserved.