On the second-order optimality conditions for multi-objective optimal control problems with mixed pointwise constraints

被引：0
|
作者：
Kien, Bui Trong [1 ]
Binh, Trinh Duy [1 ]
机构：
[1] Vietnam Acad Sci & Technol, Inst Math, Dept Optimizat & Control Theory, 18 Hoang Quoc Viet Rd, Hanoi, Vietnam
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2023年 / 85卷 / 01期
关键词：
First-and second-order optimality conditions; Vector optimization problem; Multi-objective optimal control problems; Pareto solution; The Robinson constraint qualification; VECTOR OPTIMIZATION; END-POINT; SET; REGULARITY; MINIMUM; STATE;
D O I：
10.1007/s10898-022-01201-8
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we derive second-order necessary optimality conditions and second-order sufficient optimality condition for locally Pareto solutions to a class of multi-objective optimal control problems with mixed pointwise constraints. The necessary optimality conditions for the multi-objective optimal control problem are established via optimality conditions of a specific vector optimization problem in Banach spaces, which is proved directly without using the scalarization method.
引用
收藏
页码：155 / 183
页数：29
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