论文标题
抛物线最佳控制问题的解决方案稳定性与控件的固定状态分布
Solution stability of parabolic optimal control problems with fixed state-distribution of the controls
论文作者
论文摘要
本文介绍了与一阶必要最佳条件系统相关的最佳映射的强度度量次要映射，以最佳控制半线性抛物线方程的问题。该控件具有预定义的空间分布，只有任何时间的幅度才是选择的主题。获得的次级性的条件特别是扩展已知的条件，特别是足够的最佳条件。该论文是由同一作者互补的，其中考虑了分布式控制。
The paper presents results about strong metric subregularity of the optimality mapping associated with the system of first-order necessary optimality conditions for a problem of optimal control of a semilinear parabolic equation. The control has a predefined spatial distribution and only the magnitude at any time is a subject of choice. The obtained conditions for subregularity imply, in particular, sufficient optimality conditions that extend the known ones. The paper is complementary to a companion one by the same authors, in which a distributed control is considered.
