Second-order KKT optimality conditions for multi-objective optimal control problems
Optimization and Control
2017-12-29 v1
Abstract
In this paper, we study second-order necessary and sufficient optimality conditions of Karush--Kuhn--Tucker-type for locally optimal solutions in the sense of Pareto to a class of multi-objective optimal control problems with mixed pointwise constraint. To deal with the problems, we first derive second-order optimality conditions for abstract multi-objective optimal control problems which satisfy the Robinson constraint qualification. We then apply the obtained results to our concrete problems. The proofs of obtained results are direct, self-contained without using scalarization techniques.
Cite
@article{arxiv.1712.09743,
title = {Second-order KKT optimality conditions for multi-objective optimal control problems},
author = {Bui Trong Kien and Nguyen Van Tuyen and Jen-Chih Yao},
journal= {arXiv preprint arXiv:1712.09743},
year = {2017}
}
Comments
34 pages