必威betway西汉姆网页版学术活动月系列报告十

作者: 时间:2022-04-05 点击数:

报告时间:202248日  10:00

点:线上腾讯会议 563-869-242

报告人:   刘建州 (湘潭大学)

报告题目:Upper and lower eigenvalue summation bounds of the Lyapunov matrix differential equation and the application in a class time-varying nonlinear system

汇报摘要:

In this taik, we first show a class relation between the eigenvalue of functional matrix derivative and the derivative of function matrix eigenvalue. Applying the relation, we transform the time-varying linear matrix differential equation into eigenvalue differential equation. Furthermore, by using singular value decomposition and majorisation inequalities, we derive upper and lower bounds on eigenvalue summation of the solution for the Lyapunov matrix differential equation, which improve the recent results. As an application in control and optimisation, we show that our bounds could be used to discuss the stability of a class time-varying nonlinear system. Finally, we give a corresponding numerical example to show the superiority and effectiveness of the derived bounds.

汇报人简介:

刘建州,湘潭大学数学与计算科学学院二级教授、博士生导师。2016.1-2020.1任中国数学会常务理事,湖南省运筹学会副理事长,2005.1-2020.11任湖南省数学会常务理事、秘书长,现任湖南省运筹学会监事长,湖南省数学学会常务理事、监事。长期从事数值代数、线性代数及其应用,线性控制等方面的研究,主持国家自然科学基金4项、主持部、省级自然科学基金10余项,已培养毕业博士、硕士研究生80余人,在国内外重要学术期刊《SIMA J. Matrix Anal. Appl.》、《IEEE Transactions on Automatic Control》、《Linear Algebra Appl.》、《数学学报》、《数学年刊》等发表术论文190余篇,其中SCI期刊90余篇。先后获湖南省自然科学三等奖、湖南省高等教育教学成果二、三等奖。

Copyright 必威betway西汉姆网页版. All rights reserved.

地址:济南市市中区南辛庄西路336号必威betway西校区第七教学楼   邮编:250022   电话(传真):0531-82767313