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一类广义凸多目标控制问题的Wolfe型对偶
引用本文:张余,苏金梅,史友谊.一类广义凸多目标控制问题的Wolfe型对偶[J].内蒙古农业大学学报(自然科学版),2003,24(4):114-120.
作者姓名:张余  苏金梅  史友谊
作者单位:1. 内蒙古工业大学基础部,呼和浩特,010062
2. 内蒙古农业大学基础部
3. 包头钢铁(集团)有限责任公司人事部
摘    要:本文研究了一类多目标优化控制问题,在向量泛函不变凸的条件下建立了Wolfe型对偶,并证明了原问题和对偶问题之间的弱对偶定理和强对偶定理,推广了该领域一些文献中的结果。

关 键 词:广义凸性  多目标控制  Wolfe型对偶  对偶模型
文章编号:1009-3575(2003)04-0114-07
修稿时间:2003年9月16日

A WOLFE TYPE DUALITY FOR A CLASS OF GENERALIZED CONVEX MULTIOBJECTIVE CONTROL PROBLEMS
ZHANG YU,SU Jin-mei,SHIYou-yi.A WOLFE TYPE DUALITY FOR A CLASS OF GENERALIZED CONVEX MULTIOBJECTIVE CONTROL PROBLEMS[J].Journal of Inner Mongolia Agricultural University(Natural Science Edition),2003,24(4):114-120.
Authors:ZHANG YU  SU Jin-mei  SHIYou-yi
Institution:ZHANG YU~1,SU Jin-mei~2,SHIYou-yi~3
Abstract:A class of multiobjective control problems were studied.A Wolfe type duality model was formulated for them. Under vector invexity assumption, a number of weak and strong duality theorem were proved. The corresponding works established earlier in this field were popularized.
Keywords:multiobjective optimal control problem  duality  efficiency
本文献已被 CNKI 维普 万方数据 等数据库收录!
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