数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (3): 847-862.doi: 10.1016/S0252-9602(16)30044-3

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PERIODIC OPTIMAL CONTROL PROBLEMS GOVERNED BY SEMILINEAR PARABOLIC EQUATIONS WITH IMPULSE CONTROL

闫奇姝   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2015-02-26 修回日期:2015-11-23 出版日期:2016-06-25 发布日期:2016-06-25
  • 作者简介:Qishu YAN,E-mail:yanqishu@whu.edu.cn
  • 基金资助:

    This work was partially supported by the National Science Foundation of China (11371285).

PERIODIC OPTIMAL CONTROL PROBLEMS GOVERNED BY SEMILINEAR PARABOLIC EQUATIONS WITH IMPULSE CONTROL

Qishu YAN   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2015-02-26 Revised:2015-11-23 Online:2016-06-25 Published:2016-06-25
  • Supported by:

    This work was partially supported by the National Science Foundation of China (11371285).

摘要:

This paper is concerned with periodic optimal control problems governed by semilinear parabolic differential equations with impulse control. Pontryagin's maximum principle is derived. The proofs rely on a unique continuation estimate at one time for a linear parabolic equation.

关键词: Pontryagin's maximum principle, impulse control, semilinear parabolic equation

Abstract:

This paper is concerned with periodic optimal control problems governed by semilinear parabolic differential equations with impulse control. Pontryagin's maximum principle is derived. The proofs rely on a unique continuation estimate at one time for a linear parabolic equation.

Key words: Pontryagin's maximum principle, impulse control, semilinear parabolic equation

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  • 35K58