| 复连通域上边界观测的抛物系统的最优边界控制问题 |
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| 引用本文： | 王润杰.复连通域上边界观测的抛物系统的最优边界控制问题[J].哈尔滨师范大学自然科学学报,1989(4). |
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| 作者姓名： | 王润杰 |
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| 作者单位： | 哈尔滨师范大学数学系 |
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| 摘 要： | 本文利用Lions.I.L所引入的方法,通过定义新的控制空间υ来讨论边界观测复连通区域上抛物系统的最优边界控制问题。给出最优控制所满足的最优性系统。大型铸钢件中瞬时温度场的控制问题便可归结为上述问题。
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| 关 键 词： | 控制空间 共轭状态 最优性系绞 |
Optimal Boundany Control Problem of Parabolic System of Boundary Qbservation ON Complex Connected Domain |
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| Wang RunJie Mathematics.Optimal Boundany Control Problem of Parabolic System of Boundary Qbservation ON Complex Connected Domain[J].Natural Science Journal of Harbin Normal University,1989(4). |
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| Authors: | Wang RunJie Mathematics |
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| Institution: | Wang RunJie Mathematics |
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| Abstract: | Using the method of Lions.J.L. i], we discuss the optimal boundary control problemof parabolic system ofboundary observation on complex connected domain.By defining a new control space, the optimality system has been given in this paper.The control problem of the instantaneous temperature field on Large-scale casing steel can be reduced to above problem. |
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| Keywords: | control space Dual state Optimality system |
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