EQUIVALENCE OF THREE DIFFERENT KINDS OF OPTIMAL CONTROL PROBLEMS FOR STOKES EQUATIONS

doi:10.1016/S0252-9602(15)30016-3

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (3): 709-718.doi: 10.1016/S0252-9602(15)30016-3

EQUIVALENCE OF THREE DIFFERENT KINDS OF OPTIMAL CONTROL PROBLEMS FOR STOKES EQUATIONS

何培杰¹, 闫奇姝²

1. School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, China;
2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

收稿日期:2014-08-21 修回日期:2014-10-25 出版日期:2015-05-01 发布日期:2015-05-01
基金资助:
This work was partially supported by the National Natural Science Foundation of China under grants 11371285 and 91130022.

EQUIVALENCE OF THREE DIFFERENT KINDS OF OPTIMAL CONTROL PROBLEMS FOR STOKES EQUATIONS

Peijie HE¹, Qishu YAN²

1. School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, China;
2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received:2014-08-21 Revised:2014-10-25 Online:2015-05-01 Published:2015-05-01
Supported by:
This work was partially supported by the National Natural Science Foundation of China under grants 11371285 and 91130022.

摘要/Abstract

摘要：

This article presents an equivalence theorem for three different kinds of optimal control problems, which are optimal target control problems, optimal norm control problems, and optimal time control problems. Controlled systems in this study are internally controlled Stokes equations.

关键词: Optimal time control, optimal norm control, optimal target control, Stokes equations

Abstract:

Key words: Optimal time control, optimal norm control, optimal target control, Stokes equations

中图分类号:

35Q35

何培杰, 闫奇姝. EQUIVALENCE OF THREE DIFFERENT KINDS OF OPTIMAL CONTROL PROBLEMS FOR STOKES EQUATIONS[J]. 数学物理学报(英文版), 2015, 35(3): 709-718.

Peijie HE, Qishu YAN. EQUIVALENCE OF THREE DIFFERENT KINDS OF OPTIMAL CONTROL PROBLEMS FOR STOKES EQUATIONS[J]. Acta mathematica scientia,Series B, 2015, 35(3): 709-718.

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EQUIVALENCE OF THREE DIFFERENT KINDS OF OPTIMAL CONTROL PROBLEMS FOR STOKES EQUATIONS

EQUIVALENCE OF THREE DIFFERENT KINDS OF OPTIMAL CONTROL PROBLEMS FOR STOKES EQUATIONS

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