Local stability of solutions to a parametric multi-objective optimal control problem

被引：3

作者：

Binh, T. D. ^{[1
]}

Kien, B. T. ^{[1
]}

Son, N. H. ^{[2
]}

机构：

[1] Vietnam Acad Sci & Technol, Inst Math, Dept Optimizat & Control Theory, Hanoi, Vietnam

[2] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, Hanoi, Vietnam

来源：

OPTIMIZATION | 2024年 / 73卷 / 07期

关键词：

Stability of solutions; parametric multi-objective optimal control problem; Pareto solution; Holder continuity; Lipschitz continuity; OPTIMIZATION; REGULARITY; 2ND-ORDER;

D O I：

10.1080/02331934.2023.2192233

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：

This paper studies local stability of solutions to a parametric multi-objective optimal control problem with constraints. By combining the scalarization method and non-scalarization methods, we show that if the unperturbed problem has a locally strong Pareto solution, then the Pareto solution set is locally Holder continuous at a reference parameter.

引用

页码：2247 / 2275

页数：29

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