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

页码：155 / 183

页数：29

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