李韬老师学术报告

 

题目Continuous-Time Distributed Consensus Algorithms and Consentability with Random Noises

 

报告人李韬(华东师范大学)

 

时间地点2017615日,1020--1100,计控学院东楼329

 

摘要Measurement and communication uncertainties are important factors for the stability and performances of cooperative dynamic networks. We consider continuous-time stochastic consensus algorithms of multi-agent systems with additive

or multiplicative measurement noises, where the information exchange among agents

is described by a directed graph. For the case with additive noises, the stochastic weak

and strong consensus are examined. Some necessary conditions and sufficient conditions on the algorithm gain are given for the stochastic approximation type algorithm to ensure the mean square and almost sure consensus. We show that the mean square strong consensus and almost sure strong consensus are equivalent. For the case with multiplicative noises, the stochastic stability for stochastic differential equations driven by multiplicative noises is examined, and the existence of the positive definite solution for a class of generalized algebraic Riccati equations is established. Then explicit sufficient conditions are deduced for the mean square and almost sure consentability.

 

报告人简介:李韬,教授,博士生导师,国家自然科学基金优秀青年科学基金获得者,上海市东方学者特聘教授。2004年毕业于15vip太阳集团官网信息技术科学学院自动化系,获工学学士学位。2009年获中科院数学与系统科学研究院系统理论理学博士学位。20097-201312月任中科院数学与系统科学研究院助理研究员。201212月入选上海高校特聘教授(东方学者)201312月至201612月为上海大学机电工程与自动化学院教授。20171月至今为华东师范大学数学系教授、博士生导师,紫江优秀青年学者。2008-2011年曾赴新加坡南洋理工大学电气电子工程学院,先后任Project officer Research Fellow (新加坡千禧基金会学者)。2010.9-2011.1获澳大利亚教育部奋进研究基金资助访问澳大利亚国立大学信息科学与工程研究院。主要研究方向为随机系统、多自主体系统和信息网络;在自动控制领域三大顶级期刊IEEE Transactions on Automatic Control AutomaticaSIAM Journal on Control and Optimization发表论文多篇,包括多篇第一作者/通信作者Regular paper。研究工作得到多位中国和发达国家院士、30余位IFAC/IEEE/SIAM会士的正面引用、单独评述或实质推广应用。曾获第七届亚洲控制会议最佳论文奖、第28届张嗣瀛优秀青年论文奖、第17届国际自动控制联合会世界大会青年作者奖荣誉提名(五篇之一)等。

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