| 引用本文: | 冯德兴， 张秉钰.椭圆型方程的最优控制与区域扰动*[J].控制理论与应用,1989,6(S1):42~50.[点击复制] |
| Feng Dexing, Zhang Bingyu.Optimal Control of Elliptic Equation and Domain Perturbation[J].Control Theory and Technology,1989,6(S1):42~50.[点击复制] |
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| 椭圆型方程的最优控制与区域扰动* |
| Optimal Control of Elliptic Equation and Domain Perturbation |
| 摘要点击 887 全文点击 554 投稿时间：1986-05-28 修订日期：1986-10-17 |
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| DOI编号 |
| 1989,6(S1):42-50 |
| 中文关键词 |
| 英文关键词 |
| 基金项目 |
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| 中文摘要 |
| 本文讨论扰动区域上椭圆型方程的最优控制问题。应用区域扰动下Sobolev空间的理论证明了，当微分算子的定义域在一定意义下逼近于某个固定的区域时，相应的最优控制和最优解也按某种拓扑收敛。 |
| 英文摘要 |
| This paper is concerned with the optimal control of systems described by an elliptic partial differential equation under perturbation of domains. By using the Sobolev space theory under perturbed domains, it is shown that the optimal control and corresponding optimal solution depend continuously on the domain under certain conditions. |