%0 Journal Article
%T 具有自由终端时间的多目标最优控制问题可行解的存在性<br>Existence of the Feasible Solutions forMulti-Objective Optimal ControlProblem with Free End Time
%A 洪叶
%J Pure Mathematics
%P 307-314
%@ 2160-7605
%D 2024
%I Hans Publishing
%R 10.12677/PM.2024.145187
%X 本文主要考虑在欧式空间中，初始状态和终端状态满足约束，具有自由终端时间的多目标最优控 制问题。 通过引入额外的状态与控制，把具有自由终端时间的多目标最优控制问题转变为有限时 间区间的多目标最优控制问题，得到了具有自由终端时间的多目标最优控制问题可行解存在性条件。<br />
In this paper, we mainly consider the multi-objective optimal control problem with
free end time, initial state and terminal state satisfying constraints. By introducing
additional state and control, we transform this problem into a control problem with
fixed end time, we obtain the existence of the feasible solutions for multi-objective
optimal control problem with free end time.
%K 自由终端时间，多目标最优控制问题，可行解<br>Free End Time
%K Multi-Objective Optimal Control Problem
%K Feasible Solution
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=87866