EXISTENCE OF OPTIMAL CONTROLS FOR A SEMILINEAR COMPOSITE FRACTIONAL RELAXATION EQUATION

被引：12

作者：

Fan, Zhenbin ^{[1
]}

Mophou, Gisele ^{[2
,3
]}

机构：

[1] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China

[2] Univ Antilles Guyane, Lab CEREGMIA, Ouagadougou 97159, Burkina Faso

[3] Univ Ouaga 3S, Lab MAINEGE, Ouagadougou, Burkina Faso

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2014年 / 73卷 / 03期

关键词：

Caputo fractional derivatives; mild solution; optimal controls; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS;

D O I：

10.1016/S0034-4877(14)60047-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a control system governed by a semilinear composite fractional relaxation equation in Banach space X. Under suitable conditions on the data, we prove that the system has a mild solution. Then, we investigate the existence of an optimal state-control pair, solution to the associated Lagrange optimal control problem. An example is also given to illustrate our results.

引用

页码：311 / 323

页数：13

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