学术报告第202005期

报告题目：Consensus and influence power approximation in time-varying and directed networks subject to perturbations

报 告 人：Irinel Constantin Morarescu 教授（洛林大学）

报告时间：2020年9月23日（周三）下午16:00-17:00

报告地点：南一楼中314室

主持人：王燕舞

报告内容摘要:This work focuses on the analysis of multi-agent systems interacting over directed and time-varying networks in presence of parametric uncertainty on the interaction weights. We assume that agents reach a consensus, and the main goal of this work is to characterize the contribution that each agent has to the consensus value. This information is important for network intervention applications such as targeted advertising over social networks. Indeed, for an advertising campaign to be efficient, it has to take into account the influence power of each agent in the graph (ie, the contribution of each agent to the final consensus value). In our first results, we analytically describe the trajectory of the overall network, and we provide lower and upper bounds on the corresponding consensus value. We show that under appropriate assumptions, the contribution of each agent to the consensus value is smooth both in time and in the variation of the uncertainty parameter. This allows approximating the contribution of each agent when small perturbations affect the influence of each agent on its neighbors. Finally, we provide a numerical example to illustrate how our theoretical results apply in the context of network intervention.

报告人简介:Irinel Constantin Morarescu，法国洛林大学全职教授，法国南希自动化研究中心研究员。他分别于1997年和1999年在罗马尼亚布加勒斯特大学获得数学学士和硕士学位，2006年于罗马尼亚布加勒斯特大学和贡比涅技术大学获得博士学位。2016年获洛林大学研究指导资格文凭。2007年3月至2010年10月，分别在法国国家信息与自动化研究所(INRIA)、格勒诺布尔大学Jean Kuntzmann实验室和法国国家科学研究中心GIPSA实验室从事博士后研究工作。他的主要研究方向包括动态系统（如混杂系统、双时间尺度系统、时滞系统）的分析与综合、多智能体系统的分布式控制和优化，社会网络中观点动力学的建模、分析和控制。

他担任IMA Journal of Mathematical Control & Information和IEEE Control Systems Society-Conference Editorial Board，Nonlinear Analysis:Hybrid Systems等期刊和国际会议的副编辑。他是国际自动控制联合会(IFAC)网络化系统技术委员会成员，2018年IFAC混杂系统分析与设计会议程序委员会委员，第七届IFAC网络化系统分布式估计与控制研讨会程序委员会委员。