Second-order Optimality Conditions for Time-Optimal Control Problems Governed by Semilinear Parabolic Equations
Optimization and Control
2024-11-13 v1 Analysis of PDEs
Abstract
A class of time-optimal control problems governed by semilinear parabolic equations with mixed pointwise constraints and final point constraints is considered. By introducing the so-called locally optimal solution to time-optimal control problems, we establish first and second-order necessary optimality conditions of KKT-type and second-order sufficient conditions for locally optimal solutions to the problem.
Cite
@article{arxiv.2411.07723,
title = {Second-order Optimality Conditions for Time-Optimal Control Problems Governed by Semilinear Parabolic Equations},
author = {Huynh Khanh and Bui Trong Kien and Arnd Rösch},
journal= {arXiv preprint arXiv:2411.07723},
year = {2024}
}
Comments
38 pages