APPLICATION OF THE METHOD OF AVERAGING TO THE PROBLEMS OF OPTIMAL CONTROL OVER FUNCTIONAL-DIFFERENTIAL EQUATIONS

被引：3

作者：

Kravets', V. I. ^{[1
]}

Koval'chuk, T. V. ^{[2
]}

Mohyl'ova, V. V. ^{[3
]}

Stanzhyts'kyi, O. M. ^{[4
]}

机构：

[1] Tavria State Agrotechnol Univ, Melitopol, Ukraine

[2] Kyiv Natl Univ Trade & Econ, Kiev, Ukraine

[3] Ukrainian Natl Tech Univ, Sikorski Kyiv Polytech Inst, Kiev, Ukraine

[4] Shevchenko Kyiv Natl Univ, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2018年 / 70卷 / 02期

关键词：

D O I：

10.1007/s11253-018-1497-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the application of the method of averaging to the problems of optimal control over functional differential equations. The procedure of averaging allows one to replace the original problem by the problem of optimal control over a system of ordinary differential equations. It is proved that the optimal control over the averaged problem is almost optimal for the exact problem. We study the problems of optimal control with finite and infinite horizons.

引用

页码：232 / 242

页数：11

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