| 一类多目标优化控制问题的两个弱对偶定理 |
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| 引用本文： | 刘海军,苏金梅.一类多目标优化控制问题的两个弱对偶定理[J].内蒙古农业大学学报(自然科学版),2005,26(4):108-112. |
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| 作者姓名： | 刘海军 苏金梅 |
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| 作者单位： | 1. 内蒙古农业大学基础部,呼和浩特,010018;内蒙古大学理工学院数学系,呼和浩特,010021
2. 内蒙古农业大学基础部,呼和浩特,010018 |
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| 摘 要： | 本文利用向量泛函的不变凸﹑（严格）拟不变凸﹑（严格）伪不变凸, 给出并证明了一类多目标优化控制问题的两个弱对偶定理.
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| 关 键 词： | 多目标优化控制问题 对偶 不变凸 |
| 文章编号： | 1009-3575(2005)04-0108-05 |
| 收稿时间： | 2005-10-14 |
| 修稿时间： | 2005年10月14 |
TWO WEAK DUALITY THEOREMS FOR A CLASS OF MULTIOBJECTIVE OPTIMAL CONTROL PROBLEMS |
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| Liu Hai-jun,Su Jin-mei.TWO WEAK DUALITY THEOREMS FOR A CLASS OF MULTIOBJECTIVE OPTIMAL CONTROL PROBLEMS[J].Journal of Inner Mongolia Agricultural University(Natural Science Edition),2005,26(4):108-112. |
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| Authors: | Liu Hai-jun Su Jin-mei |
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| Institution: | 1. College of Basic Curriculum,Inner Mongolia Agricultural University,Huhhot 010018, China; 2. Department of Mathematics, College of Science and Technology, NeiMongol University, Huhhot 010021 ,China |
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| Abstract: | Two weak duality theorems were given and proved for a class of multiobjective control problems by using invexity,(strictly)quasiinvexity and(strictly)pseudoinvexity. |
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| Keywords: | multiobjective optimal control problems duality invexity |
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