Second-order optimality conditions for multiobjective optimal control problems with mixed pointwise constraints and free right end point

被引：0
|
作者：
KIEN B.T. [1 ]
QIN X. [2 ]
WEN C.-F. [3 ,4 ]
YAO J.-C. [5 ]
机构：
[1] Faculty of Computer Science and Information Technology, Quang Trung University, 327 Dao Tan, Qui Nhon City
[2] Department of Mathematics, Hangzhou Normal University, Hangzhou
[3] Center for Fundamental Science, Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung
[4] Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung
[5] Center for General Education, China Medical University, Taichung
来源：
SIAM Journal on Control and Optimization | 2020年 / 58卷 / 04期
关键词：
First- and second-order optimality conditions; H-locally weak Pareto solution; Multiobjective optimal control problems;
D O I：
10.1137/19m1281770
中图分类号：
学科分类号：
摘要：
In this paper, we derive first- and second-order necessary optimality conditions of Karush-Kuhn-Tucker type for H-locally weak solutions in the sense of Pareto of multiobjective optimal control problems with free right end point and free end-time and with mixed pointwise constraints. To deal with the problem, we first establish first- and second-order optimality conditions for a reduced problem with fixed end-time. We then obtain optimality conditions for the original problem. © 2020 Society for Industrial and Applied Mathematics.
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页码：2658 / 2677
页数：19
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