Exponential turnpike property for hierarchical optimal control problems: from particle systems to hydrodynamic equations
报告人：周一舟（德国亚琛工业大学）
时间：2025-12-18 16:00-17:00
地点：智华楼109
Abstract: For optimal control problems involving time-dependent differential equations, the exponential turnpike property states that optimal solutions remain exponentially close to the optimal solution of the corresponding static problem. We study this property for controlled interacting particle systems and their macroscopic limits. Each particle follows a controlled ODE, forming an N-coupled dynamical system. As N goes to infinity, the collective behavior of the particles is described by a mean-field equation. For second-order dynamics, this mean-field model can be further approximated by hydrodynamic equations obtained through suitable moment closures. We construct stabilizing feedback controls to establish both the cheap control and exponential turnpike properties. These findings show that the turnpike property persists across the hierarchy of optimal control problems.
报告人简介：周一舟，目前在亚琛工业大学(RWTH Aachen University)做博士后 ，博士毕业于清华大学，导师是雍稳安教授。2021-2023年在色控
李若教授课题组担任博雅博士后。
