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具V-不变凸性的一类多目标控制问题的混合对偶性 被引量：3

MIXED TYPE DUALITY FOR A CLASS OF MULTIOBJECTIVE CONTROL PROBLEMS WITH V-INVEXITY
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摘要 本文研究了一类多目标控制问题的混合对偶性.利用函数的广义V-不变凸性条件,得出了关于有效解的弱对偶定理、强对偶定理和严格逆对偶定理,推广了多目标控制问题的对偶性结论. In this article, we investigate mixed type duality for a class of multiobjective control problems. By using the conditions of the generalized V-invexity on the functions involved, we obtain weak, strong, and strict converse duality theorems. This work extends many results on duality of multiobjective control problems established earlier.
作者 陈世国 刘家学
机构地区 空军第一航空学院基础部
出处 《数学杂志》 CSCD 北大核心 2010年第2期338-344,共7页 Journal of Mathematics
关键词 多目标控制问题 有效解 混合对偶 广义V-不变凸性 multiobjective control problem efficiency solutions mixed type duality generalized V-invexity.
分类号 O224 [理学—运筹学与控制论]
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参考文献8

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  • 7陈世国,祁传达.多目标变分问题的混合对偶性[J].数学的实践与认识,2003,33(12):97-102. 被引量：5
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同被引文献19

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数学杂志
2010年 第2期

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