Application of the method of averaging to the problems of optimal control over functional-differential equations

• Date: 2018
• Main Authors: Koval’chuk, T. V., Kravets, V. I., Mohyl'ova, V. V., Stanzhitskii, A. N., Ковальчук, Т. В., Кравець, В. І., Могильова, В. В., Станжицький, О. М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1551
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the application of the method of averaging to the problems of optimal control over functional-differential equations. The procedure of averaging allows us to replace the original problem with the problem of optimal control by a system of ordinary differential equations. It is proved that th...