On sufficient optimality conditions for multiobjective control problems

被引：23

作者：

de Oliveira, Valeriano Antunes ^{[1
]}

Silva, Geraldo Nunes ^{[1
]}

机构：

[1] UNESP Univ Estadual Paulista, Dept Matemat Aplicada, Inst Biociencias Letras & Ciencias Exatas, Campus Sao Jose Do Rio Preto, BR-15051000 Sao Jose Do Rio Preto, SP, Brazil

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2016年 / 64卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

Optimal control; Optimality conditions; Generalized convexity; Multiobjective programming; WEAKLY EFFICIENT SOLUTIONS; GENERALIZED CONVEXITY; PROGRAMMING-PROBLEMS; OPTIMIZATION PROBLEMS; INVEX FUNCTIONS; PSEUDOINVEXITY; DUALITY;

D O I：

10.1007/s10898-015-0351-y

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 is devoted to presenting optimality conditions for the sufficiency of the maximum principle for multiobjective optimal control problems with nonsmooth data. Such conditions are the most general as possible in the sense that problems in which the set of necessary conditions from the maximum principle are also sufficient, necessarily obey them. A variation of such conditions is also presented, under which the set of optimal solutions of the multiobjective problem can be determined by resolving a related scalar weighting problem.

引用

页码：721 / 744

页数：24

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