标题： 同步的功能作用：平均场控制视角 显示英文标题

标题： Functional role of synchronization: A mean-field control perspective

摘要： 本文综述的研究的总体目标是开发方法以理解数学物理、神经科学、经济学、电力系统和神经网络等领域中存在的相互连接的动力系统的整体行为。 这些问题涉及对涌现（通常是未预料到的）现象的预测，制定影响这种行为的分布式控制方案的方法，而这些主题也引发了学习领域中的许多其他问题。 由彼得·凯恩斯开创的平均场博弈领域非常适合解决这些问题。 本文在受控耦合振荡器的背景下对这一方法进行了综述。 显示英文摘要

摘要： The broad goal of the research surveyed in this article is to develop methods for understanding the aggregate behavior of interconnected dynamical systems, as found in mathematical physics, neuroscience, economics, power systems and neural networks. Questions concern prediction of emergent (often unanticipated) phenomena, methods to formulate distributed control schemes to influence this behavior, and these topics prompt many other questions in the domain of learning. The area of mean field games, pioneered by Peter Caines, are well suited to addressing these topics. The approach is surveyed in the present paper within the context of controlled coupled oscillators.