期刊
JOURNAL OF DIFFERENTIAL EQUATIONS
卷 373, 期 -, 页码 1-47出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2023.07.010
关键词
Mean-field optimal control; Optimal control with SDE constraints; Population dynamics; P-convergence; Superposition principle
类别
Motivated by leader-follower multi-agent dynamics, this study investigates a class of optimal control problems aiming to influence the behavior of a given population through another controlled one interacting with the first. The system's evolution follows a non-linear Fokker-Planck-type equation accounting for randomness. The study develops a well-posedness theory for control vector fields with very low regularity, as well as a rigorous mean-field limit based on stochastic particle approximation.
Motivated by the applications in leader-follower multi-agent dynamics, a class of optimal control prob-lems is investigated, where the goal is to influence the behavior of a given population through another controlled one interacting with the first. The evolution of the systems obeys a non-linear Fokker-Planck-type equation as diffusive terms accounting for randomness in the evolution are taken into account. A well-posedness theory under very low regularity of the control vector fields is developed, as well as a rig-orous mean-field limit of a stochastic particle approximation.& COPY; 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org /licenses /by -nc -nd /4 .0/).
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据