Duality for a class of multiobjective control problems

被引:21
作者
Chen, XH [1 ]
机构
[1] Huaiyin Teachers Coll, Dept Math, Jiangsu 223001, Peoples R China
[2] Nanjing Univ, Dept Math, Jiangsu 210093, Peoples R China
关键词
D O I
10.1006/jmaa.2001.7873
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a class of multiobjective control problems is considered, where the objective and constraint functions involved are f(t, x(t), x(over dot)(t), y(t), z(t)) with x(t) is an element of R-n, y(t) is an element of R-n, and z(t) is an element of R-m, where x(t) and z(t) are the control variables and y(t) is the state variable. Under the assumption of invexity and its generalization, duality theorems are proved through a parametric approach to related properly efficient solutions of the primal and dual problems. (C) 2002 Elsevier Science (USA).
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页码:377 / 394
页数:18
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