| 障碍最优控制问题的正则性 |
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| 引用本文： | 郭兴明,李秀华.障碍最优控制问题的正则性[J].上海大学学报(英文版),2006,10(1):1-3. |
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| 作者姓名： | 郭兴明 李秀华 |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 P.R.China，Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 P.R.China |
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| 基金项目： | ProjectsupportedbyNationalNaturalScienceFoundationofChina(GrantNo.10472016). |
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| 摘 要： | 1IntroductionIn this paper,we consider the following opti malcontrol problem.Problem(C)Find a-y∈H01(Ω),such thatI(-y)=infy∈H01(Ω)I(y),(1)whereI(y)21∫Ω{|T(y)-z|2 |y|2}dx,y∈H01(Ω),(2)andΩ∈Rnis a bounded domain with a boundaryΩ∈C1,andz∈L∞(Ω)is a giventarget profile.In ad-dition,φT(y)is the solution of thefollowing varia-tional inequality(also called state equation):φ∈K(y)={v∈H01(Ω)|v≥y,a.e.x∈Ω},∫Ωφ(v-φ)dx≥0,v∈K(y).(3)As is known,for everyy∈H01(Ω),(3)adm…
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| 关 键 词： | 最优控制 变分不等式 控制规则 初值问题 干扰问题 |
| 文章编号： | 1007-6417（2006）01-0001-03 |
| 收稿时间： | 2005-09-01 |
Regularity of obstacle optimal control problem |
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| Xing-ming Guo Ph. D.,Xiu-hua Li.Regularity of obstacle optimal control problem[J].Journal of Shanghai University(English Edition),2006,10(1):1-3. |
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| Authors: | Xing-ming Guo Ph D Xiu-hua Li |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China |
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| Abstract: | In this paper, by investigating an optimal control problem which is equivalent to original problem, the regularity of an obstacle optimal control problem was treated. Furthermore, based on some properties of operator T for the variational inequality problem, the existence and uniqueness of the original problem were proved. |
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| Keywords: | regularity obstacle problem variational inequality |
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