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
DOI: 10.12677/PM.2024.145187, PDF, 下载: 41  浏览: 112 
作者: 洪 叶：西南交通大学数学学院，四川 成都
关键词: 自由终端时间；多目标最优控制问题；可行解；Free End Time； Multi-Objective Optimal Control Problem； Feasible Solution
摘要: 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。
Abstract: 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.
文章引用：洪叶. 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[J]. 理论数学, 2024, 14(5): 307-314. https://doi.org/10.12677/PM.2024.145187

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