一、题目

Collective dynamics of stochastic multi-agent systems

二、主讲人

孙永征

三、摘要

Recently, the distributed coordinated control of multi-agent systems has fascinated more and more researchers from numerous disciplines due to its broad applications in many fields. To reveal the inherent mechanism of multi-agent systems, some models have been introduced. Noise is ubiquitous in natural and man-made systems, which means that the motion of the group is inevitably subjected to noise perturbation in the environment. In noisy environment, each agent may not measure its neighbors' states accurately, leading to more complicated interactions among agents. Because of the intrinsic nature of noise, it is always regarded as mischievous, i.e., noise will destroy order or add disorder in natural and artificial systems. Additive and multiplicative noise has been extensively used to model the measurement uncertainties in multi-agent systems, and then, the deterministic multi-agent system becomes a stochastic system. It was reported that ordered collective motion can occur only when the noise intensity is sufficient small. The order parameter of collective motion is a decreasing function of the noise intensity, indicating that noise can destroy the ordered collective motion. However, some investigations have shown that noise may enhance collective behavior of networked systems. It was shown that the multi-agent system can achieve the consensus only via noise-based coupling. In this talk, we report our results on the collective behavior of multi-agent networks including: consensus of Vicsek model, flocking of pigeons and directional switching of swarming locusts.

四、主讲人简介

孙永征，男，博士，教授，中国矿业大学数学学院科研副院长，江苏省数学学会理事、中国工业与应用数学学会复杂网络与复杂系统专委会委员。2010年毕业于复旦大学数学科学学院获理学博士学位。多次应邀到国内外高校及学术机构访问并作学术报告。主要研究兴趣：网络同步与控制、群集动力学、生态网络等。以第一作者及通讯作者在Physical Review Letters, SIAM Journal on Applied Mathematics, Chaos, Physical Review E等国际学术期刊发表SCI检索论文40余篇，出版专著1部。

五、邀请人

陈章数学学院教授

六、时间

6月2日（星期三）10:00-11:00

七、地点

腾讯会议，会议ID：934370996

八、主办方

山东大学数学学院