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

• 论文 • 上一篇    下一篇

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

何培杰1, 闫奇姝2   

  1. 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. 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:

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:

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.

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

中图分类号: 

  • 35Q35