Synthesis of uniformly distributed optimal control with nonlinear optimization of oscillatory processes

被引：0
|
作者：
Kerimbekov, A. [1 ]
Asanova, Zh. K. [1 ]
Baetov, A. K. [1 ]
机构：
[1] Kyrgyz Russia Slavic Univ, Bishkek, Kyrgyzstan
来源：
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS SERIES | 2024年 / 115卷 / 03期
关键词：
generalized solution; Volterra operator; nonlinear optimization; Bellman functional; Frechet differential; Bellman type equations; synthesis of optimal control;
D O I：
10.31489/2024M3/101-111
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the article the problem of synthesizing uniformly distributed optimal control for nonlinear optimization of oscillatory processes described by integro-differential partial differential equations with the Volterra integral operator was explored. The study was conducted according to the Bellman-Egorov scheme and an algorithm for constructing a uniformly distributed optimal control in the form of a functional from the state of the controlled process was developed. Sufficient conditions for the solvability of the synthesis problem in nonlinear optimization were established.
引用
收藏
页码：101 / 111
页数：11
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