On necessary optimality conditions for optimal control problems governed by elliptic systems
On necessary optimality conditions for optimal control problems governed by elliptic systems
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DOI：
10.1080/02331930500050632
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发表时间：
2005-04
期刊：
影响因子：
2.2
通讯作者：
U. Raitums;W. Schmidt
中科院分区：
文献类型：
--
作者：
U. Raitums;W. Schmidt
本文考虑线性椭圆型系统div的最优控制问题，其中系数矩阵A起控制作用且属于非凸集，且代价泛函关于通过将原问题转化为一个更合适的问题，并利用均匀化理论的思想，导出了一个必要的最优性条件。
The article considers an optimal control problem for the linear elliptic system div for the case where the coefficient matrix A plays the role of control and belongs to a nonconvex set and the cost functional is a quadratic form with respect to . By transforming the original problem to a more suitable one and by using ideas from the homogenization theory a necessary optimality condition is derived.