Optimal control by linear almost conservative systems

• Date: 2017
• Main Authors: Novitsky, V. V., Zinchuk, M. O., Kolomiychuk, O. P., Teteryatnik, O. V., Новицкий, В. В., Зинчук, М. о., Коломийчук, О. П., Тетерятник, О. В., Новицький, В. В., Зiнчук, М. О., Коломiйчук, О. П.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2017
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/51
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

In this paper, discrete and continuous linear almost conservative systems with quadratic performance index are considered. The technique of constructing an optimal control based on the power series expansion of a matrix-solution of the Riccati equation is proposed. The results are demonstrated by il...