Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (2): 170-175.

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Penalization Method for Optimal Control of Parabolic Problems with State Constraints

Gong Liutang, Fei Pusheng   

  1. Department of Mathematics, Wuhan University, 430072
  • Received:1995-05-10 Revised:1996-06-14 Online:1997-04-26 Published:1997-04-26

Abstract: In this paper,we discuss a class of optimal control systems governed by parabolic evolution equations with pointwise state constraints, through the perturbation of the op timal control problem, we get the necessary condition which the state variables and control variables are choosen independently.

Key words: Parabolic equation, Optimal control, Necessary condition

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