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Pure Mathematics 2024
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
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Abstract:
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 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.
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