论文标题
为单人和人群提供最佳访问问题的混合控制
Hybrid control for optimal visiting problems for a single player and for a crowd
论文作者
论文摘要
在最佳访问问题中,我们希望控制一个必须尽可能靠近目标点或区域的轨迹。我们引入了一种基于混合控制的方法,用于经典问题,该方法可以在与问题目标相关的一组离散状态之间切换。随后,该模型适应了一个平均场框架,以研究可行性和人群通量,以建模许多难以区分的玩家。
In an optimal visiting problem, we want to control a trajectory that has to pass as close as possible to a collection of target points or regions. We introduce a hybrid control-based approach for the classic problem where the trajectory can switch between a group of discrete states related to the targets of the problem. The model is subsequently adapted to a mean-field framework to study viability and crowd fluxes to model a multitude of indistinguishable players.