SIAM Journal on Control and Optimization, Volume 58, Issue 4, Page 2658-2677, January 2020.
In this paper, we derive first- and second-order necessary optimality conditions of Karush--Kuhn--Tucker type for H-locally weak solutions in the sense of Pareto of multiobjective optimal control problems with free right end point and free end-time and with mixed pointwise constraints. To deal with the problem, we first establish first- and second-order optimality conditions for a reduced problem with fixed end-time. We then obtain optimality conditions for the original problem.

中文翻译：

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具有混合点向约束和自由右端点的多目标最优控制问题的二阶最优性条件

SIAM控制与优化杂志，第58卷，第4期，第2658-2677页，2020
年1月。在本文中，我们推导了H局部弱的Karush-Kuhn-Tucker类型的一阶和二阶必要最优性条件。具有自由右端点和自由端点时间以及混合点约束的多目标最优控制问题的帕累托意义上的解。为了解决这个问题，我们首先为固定时间的减少问题建立一阶和二阶最优条件。然后，我们获得原始问题的最优性条件。