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Nonsmooth optimization over the efficient set associated to a multi-objective control problem

机译：针对与多目标控制问题相关的有效集的非平滑优化

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I will present the problem of optimizing a nonsmooth real valued function over the set of efficient (Pareto) control processes associated to a multi-objective control problem (grand coalition of a multi-player cooperative differential game). This problem is very difficult even in the simpler case of a linear multi-objective programming problem due to its non convexity. It may be considered as an attempt to help a decision maker in his choice of an efficient control process, because the efficient set is often very large and complex. Also this problem may give a reasonable answer in the choice of the weights according to an additional scalar objective when using the“weighted sum approach” method, i.e. when using a convex combination of the objectives in order to scalarize the multi-objective problem.
机译：我将提出在与多目标控制问题（多人合作差分游戏的大联盟）相关的有效（帕累托）控制过程集上优化非光滑实值函数的问题。即使在线性多目标编程问题的较简单情况下，由于其非凸性，该问题也非常困难。可以将其视为帮助决策者选择有效控制过程的一种尝试，因为有效集通常非常庞大且复杂。同样，当使用“加权总和法”方法（即，使用目标的凸组合以量化多目标问题）时，根据附加的标量目标选择权重时，此问题可能会给出合理的答案。

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