半线性抛物型控制问题中乘子正则性与KKT型二阶最优性条件
最优化与控制
2023-09-06 v1
摘要
考虑一类由带有混合约束及控制变量盒式约束的半线性抛物方程控制的最优控制问题。我们证明若满足分离条件,则KKT型最优性条件与乘子正则性均成立。此外,我们证明若初值足够好且边界具有正几何密度性质,则乘子与最优解均为Hölder连续。
引用
@article{arxiv.2309.01368,
title = {Regularity of multipliers and second-order optimality conditions of KKT-type for semilinear parabolic control problems},
author = {Huynh Khanh and Bui Trong Kien},
journal= {arXiv preprint arXiv:2309.01368},
year = {2023}
}
备注
arXiv admin note: substantial text overlap with arXiv:2306.10295