一、主 题：A moment-based approach to modeling and intervening collective behaviors
二、主讲人：瑞典皇家工学院数学系 胡晓明 教授
三、时 间：2019年5月17日 上午10:00-11:00
四、地 点：清水河校区 宾诺咖啡
五、主持人：自动化工程学院 胡江平 教授
In this talk we introduce an approach for modeling and controlling collective behavior of a group of agents using moments. We represent the group of agents via their distribution and derive a method to estimate the dynamics of the moments. We can use this to predict the evolution of the distribution of agents by computing the moment trajectories, and then can use this to reconstruct the distribution of the agents. The proposed method is applicable for several types of multi-agent systems, for example, leader-follower systems. We derive error bounds for the moment trajectories and describe how to take these error bounds into account for computing the moment dynamics. The convergence of the moment dynamics is also analyzed for cases with monomial moments. To illustrate the theory, a numerical example is given, in which we consider a multi-agent system with interactions and compare the proposed methods for several types of moments.
Xiaoming Hu was born in Chengdu, China. He received the B.S. degree from University of Science and Technology of China in 1983. He received the M.S. and PhD degrees from Arizona State University in 1986 and 1989 respectively, under the guidance of Professor Christopher I. Byrnes. He served as a research assistant at the Institute of Automation, the Chinese Academy of Sciences, from 1983 to 1984. From 1989 to 1990 he was a Gustafsson Postdoctoral Fellow at the Royal Institute of Technology, Stockholm, where he is a full professor of Optimization and Systems Theory in the Department of Mathematics since October 2003. He is also a board member of the Center for Autonomous Systems, and of Linnaeus Center ACCESS. His main research interests are in complex and networked systems, active sensing and perception, control of multi-agent systems, nonlinear observer design, and mobile manipulation.
编辑：庄志东 / 审核：王晓刚 / 发布者：陈伟