OPTIMAL CONTROL PROBLEMS FOR SOME CLASSES OF FUNCTIONAL-DIFFERENTIAL EQUATIONS ON THE SEMI-AXIS

被引：5

作者：

Kichmarenko, O. ^{[1
]}

Stanzhytskyi, O. ^{[2
]}

机构：

[1] Odesa Natl II Mechnikov Univ, Optimal Control & Econ Cybernat Dept, 2 Dvoryanskaya Str, UA-65082 Odesa, Ukraine

[2] Taras Shevchenko Natl Univ Kyiv, Dept Gen Math, 64-13 Volodymyrska Str, UA-01601 Kiev, Ukraine

来源：

MISKOLC MATHEMATICAL NOTES | 2019年 / 20卷 / 02期

关键词：

control; finite interval; infinite interval; functional; convexity; weak convergent; compactness; TIME-TO-BUILD; DELAYS;

D O I：

10.18514/MMN.2019.2739

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study functional-differential equations on the semi-axis, which are non-linear with respect to the phase variables and linear with respect to the control. Sufficient conditions for existence of optimal control in terms of the right-hand side and the quality criterion are obtained. Relation between the solutions of the problems on infinite and finite intervals is studied and results that about these connections are proven.

引用

页码：1021 / 1037

页数：17

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