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

Existence of the Feasible Solutions forMulti-Objective Optimal ControlProblem with Free End Time

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。

In this paper, we mainly consider the multi-objective optimal control problem withfree end time, initial state and terminal state satisfying constraints. By introducingadditional state and control, we transform this problem into a control problem withfixed end time, we obtain the existence of the feasible solutions for multi-objectiveoptimal control problem with free end time.