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

页码：101 / 111

页数：11

共 50 条

[1] Peculiarities of Constructing an Optimal Vector Distributed Control with Nonlinear Optimization of Oscillation Processes
Abdyldaeva, Elmira
Kerimbekov, Akylbek
Kabaeva, Zarina
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018), 2018, 1997
[2] On the Solvability of Synthesis Problem for Optimal Point Control of Oscillatory Processes
Kerimbekov, A.
Tairova, O. K.
IFAC PAPERSONLINE, 2018, 51 (32): : 754 - 758
[3] OPTIMAL CONTROL OF A DISTRIBUTED OSCILLATORY SYSTEM
BUTKOVSKIY, AG
POLTAVSK.LN
AUTOMATION AND REMOTE CONTROL, 1965, 26 (11) : 1835 - +
[4] On the solvability of a nonlinear optimization problem with boundary vector control of oscillatory processes
Abdyldaeva, E. F.
Kerimbekov, A. K.
Zhaparov, M. T.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2023, 109 (01): : 5 - 13
[5] Optimal control in Markov decision processes via distributed optimization
Fu, Jie
Han, Shuo
Topcu, Ufuk
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 7462 - 7469
[6] An Optimal Feedback Control Strategy for Nonlinear, Distributed-Parameter Processes
Dutta, Debaprasad
Upreti, Simant Ranjan
PROCESSES, 2019, 7 (10)
[7] OPTIMAL CONTROL FOR NONLINEAR PROCESSES
LEE, EB
MARKUS, L
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1961, 8 (01) : 36 - 58
[8] OPTIMAL CONTROL OF A CERTAIN DISTRIBUTED NONHOMOGENEOUS OSCILLATORY SYSTEM
LVOVA, NN
AUTOMATION AND REMOTE CONTROL, 1973, 34 (10) : 1550 - 1559
[9] Synthesis of Distributed Optimal Control in the Tracking Problem for the Optimization of Thermal Processes Described by Integro-Differential Equations
Kerimbekov A.
Journal of Mathematical Sciences, 2024, 279 (5) : 655 - 668
[10] Optimal Distributed Nonlinear Battery Control
Akyurek, Alper Sinan
Rosing, Tajana Simunic
IEEE JOURNAL OF EMERGING AND SELECTED TOPICS IN POWER ELECTRONICS, 2017, 5 (03) : 1045 - 1054

← 1 2 3 4 5 →