This paper focuses on numerical methods for a class of optimal control problems involving sweeping processes. We consider a problem, where the sweeping set is constant and coincides with the 0 level set of a $$C^2$$ C 2 convex function. For such problems, we propose a numerical method based on a sequence of approximating standard optimal control problems. We illustrate our method treating numerically an example.

中文翻译：

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清扫过程的最优控制：数值方法

本文重点介绍一类涉及扫掠过程的最优控制问题的数值方法。我们考虑一个问题，其中扫描集是常数并且与 $$C^2$$C 2 凸函数的 0 水平集重合。对于此类问题，我们提出了一种基于一系列近似标准最优控制问题的数值方法。我们用数字来说明我们的方法处理一个例子。