In this paper we establish an attainability result for the minimum time function of a control problem in the space of probability measures endowed with Wasserstein distance. The dynamics is provided by a suitable controlled continuity equation, where we impose a nonlocal nonholonomic constraint on the driving vector field, which is assumed to be a Borel selection of a given set-valued map. This model can be used to describe at a macroscopic level a so-called multiagent system made of several possible interacting agents.

中文翻译：

---

wasserstein空间中概率目标的可达到性

在本文中，我们建立了在具有Wasserstein距离的概率测度空间内控制问题的最小时间函数的可达到性结果。动力学由合适的受控连续性方程式提供，其中我们在驱动矢量场上施加了非局部非完整约束，该约束被假定为给定集合值映射的Borel选择。该模型可用于宏观描述由几种可能的相互作用剂组成的所谓的多剂系统。