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一类多目标优化控制问题的混合型对偶

A MIXED DUALITY FOR A KIND OF MULTIOBJECTIVE OPTIMAL CONTROL PROBLEMS
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摘要 本文利用向量泛函不变凸,对一类多目标优化控制问题建立了混合型对偶,给出并证明了原问题和对偶问题之间的3个对偶定理,推广了该领域早期文献中的一些结果。 A mixed duality was constructed for a class of multiobjective control problems by using vector functional invexity, and three duality theorems were proved. The corresponding works established earlier in this field were generalized.
作者 刘海军 张余 李月鲜 LIU Haijun;ZHANG Yu;LI Yuexian(College of Science,Inner Mongolia Agricultural University,Hohhot 010018 China;College of Science,Inner Mongolia University of Technology,Hohhot 010051,China)
机构地区 内蒙古农业大学理学院 内蒙古工业大学理学院
出处 《内蒙古农业大学学报（自然科学版）》 CAS 北大核心 2019年第6期82-88,共7页 Journal of Inner Mongolia Agricultural University(Natural Science Edition)
基金 内蒙古农业大学基础研究项目《广义凸性及多目标规划的最优性条件》(JC2012001).
关键词 多目标优化控制问题 向量泛函不变凸 混合型对偶 Multiobjective optimal control problems vector functional invexity mixed duality
分类号 O224 [理学—运筹学与控制论]
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内蒙古农业大学学报（自然科学版）
2019年 第6期

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