| 由椭圆偏微分方程所支配的混凝土坝基渗流系统的最优线态控制 |
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| 引用本文： | 高海音,翁世有,陈任昭.由椭圆偏微分方程所支配的混凝土坝基渗流系统的最优线态控制[J].数学的实践与认识,2003,33(2):73-79. |
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| 作者姓名： | 高海音 翁世有 陈任昭 |
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| 作者单位： | 1. 长春大学应用理学院,长春,130022
2. 东北师范大学数学系,长春,130024 |
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| 基金项目： | 国家自然科学基金 (1 0 0 0 71 0 1 2 ) |
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| 摘 要： | 本文从混凝土坝基渗流控制问题中抽象出由椭圆偏微分方程混杂问题所支配的系统的最优线态控制问题 .给出了最优线态控制的存在唯一性 ,得到了控制为最优的充分必要条件及最优性组
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| 关 键 词： | 椭圆偏微分方程混杂问题 混凝土坝渗流 最优线态控制 |
| 修稿时间： | 2002年7月12日 |
Optimal linewise Control of Osmotis Systems for The Basis of Concrete Dam Governed by Elliptic Partial Differential Equations |
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| GAO Hai yin ,WENG Shi you ,CHEN Ren zhao.Optimal linewise Control of Osmotis Systems for The Basis of Concrete Dam Governed by Elliptic Partial Differential Equations[J].Mathematics in Practice and Theory,2003,33(2):73-79. |
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| Authors: | GAO Hai yin WENG Shi you CHEN Ren zhao |
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| Institution: | GAO Hai yin 1,WENG Shi you 1,CHEN Ren zhao 2 |
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| Abstract: | The present paper presents the optimal linewise control problem of the system governed by the mixed problem for elliptic partial differential equations from the osmotic control problem for the basis of concrete dams. It proves the existence and uniquenes of the optimal linewise control, obtains necessary and sufficient conditions for a control to be optimal and the optimality system. |
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| Keywords: | mixed problem for elliptic partial differential equation osmose for concrete dams optimal linewise control |
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