Acta Scientiarum Naturalium Universitatis Pekinensis

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Duality Models for a Class of Multiobjective Fractional Optimal Control Problems

LIANG Zhian, YE Qingkai   

  1. Department of Mechanics and Engineering Sciences, Peking University, Beijing, 100871
  • Received:1998-08-10 Online:1999-09-20 Published:1999-09-20


梁治安, 叶庆凯   

  1. 北京大学力学与工程科学系,北京,100871

Abstract: It is discussed that duality models for a class of constrained multiobjective fractional optimal control problems proposed by Zalmai on the base of the proper efficiency conditions proved by the authors earlier. Parametric type duality models like ones in the scalar case are constructed.

Key words: multiobjective fractional control, proper efficient solution, duality model

摘要: 在作者稍早证明的一类多目标分式最优控制问题的真有效性条件的基础上,讨论了这类多目标分式最优控制问题的对偶模型。给出了4种参数形式的对偶模型。在结论部分还证明了一个辅助多目标优化问题与原多目标优化问题的真有效解等价定理。从而,可以对所考虑的多目标最优控制问题建立相应的无参数真有效性条件和对偶模型。

关键词: 多目标分式最优控制, 真有效解, 对偶模型

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