状态约束控制仿射抛物问题II：二阶充分最优性条件
最优化与控制
2020-10-15 v3
摘要
在本文中，我们考虑一个由带双线性控制-状态项并受控制和状态约束的半线性热方程控制的最优控制问题。状态约束为积分型，积分是关于空间变量的。控制是多维的。代价泛函为跟踪型并包含控制变量的线性项。我们基于Goh变换推导二阶充分条件。附录给出了一个说明我们结果可应用性的例子。
引用
@article{arxiv.1909.05056,
title = {State constrained control-affine parabolic problems II: Second order sufficient optimality conditions},
author = {M. Soledad Aronna and J. -Frédéric Bonnans and Axel Kröner},
journal= {arXiv preprint arXiv:1909.05056},
year = {2020}
}
备注
This is the second part of a work on optimality conditions for a control problem of a semilinear heat equation. More precisely, the full version, available arXiv:1906.00237, has been divided in two, resulting in arXiv:1906.00237v2 (that corresponds to Part I) and the current manuscript (which is Part II)