论文标题
对连续性方程和差分夹杂物的平均最佳控制
Mean-Field Optimal Control of Continuity Equations and Differential Inclusions
论文作者
论文摘要
在本文中，我们提出了一个新的统一框架，以调查平均场景中的多代理控制问题。我们的方法是基于对最佳运输瓦斯汀空间中差分方程的差分包含的新定义。后者允许扩展差分包含物的经典理论的几个已知结果，并证明差异包裹物和控制系统的解决方案之间的确切对应关系。我们在领导者撤离问题的例子上显示了它的适当性。
In this article, we propose a new unifying framework for the investigation of multi-agent control problems in the mean-field setting. Our approach is based on a new definition of differential inclusions for continuity equations formulated in the Wasserstein spaces of optimal transport. The latter allows to extend several known results of the classical theory of differential inclusions, and to prove an exact correspondence between solutions of differential inclusions and control systems. We show its appropriateness on an example of leader-follower evacuation problem.
