Abstract: It is discussed that the proper efficiency conditions for a class of constrained multiobjective fractional optimal control problems proposed by Zalmai. One important relationship between proper efficient solutions of such a multiobjective fractional optimization problems and that of a corresponding multiobjective nonfractional optimization problem is explored. By making use of this relationship, necessary and/or sufficient proper efficient proper efficiency conditions are given out.

Key words: multiobjective fractional optimal control, properly efficient solution

摘要： 对于一类多目标分式最优控制问题，给出一个与一辅助多目标最优控制问题具有相同真有效解的结果，从而利用 Zalmai 相应的标量最优控制问题的结果，得到这类多目标分式最优控制问题的真有效性条件，并为建立其关于真有效解的对偶模型提供了可能性。

关键词: 多目标分式最优控制, 真有效解