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arXiv 2012.15196math.OC
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具有无界约束集的参数边界最优控制问题解映射的上连续性

Upper semicontinuity of the solution map to a parametric boundary optimal control problem with unbounded constraint sets

Nguyen Hai Son, Tuan Anh Dao

摘要:

本文研究一类具有混合状态控制约束的半线性椭圆型方程参数控制问题解的稳定性,其中费用函数是非凸的,容许集是无界的.本文的主要目的是给出解映射上连续和关于参数连续的充分条件。

英文摘要:

We would like to study the solution stability of a parametric control problem governed by semilinear elliptic equations with a mixed state-control constraint, where the cost function is nonconvex and the admissible set is unbounded. The main goal of this paper is to give some sufficient conditions under which the solution map is upper semicontinuous and continuous with respect to parameters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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