Articles

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

  • Peijie HE ,
  • Qishu YAN
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  • 1. School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, China;
    2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received date: 2014-08-21

  Revised date: 2014-10-25

  Online published: 2015-05-01

Supported by

This work was partially supported by the National Natural Science Foundation of China under grants 11371285 and 91130022.

Abstract

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(15)30016-3

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