报告题目 (Title)：New Matrix bounds for the Lyapunov Matrix Differential Equation and their Application (Lyapunov矩阵微分方程新的矩阵界及其应用)

报告人 (Speaker)：刘建州 教授（湘潭大学）

报告时间 (Time)：2024年12月15日 (周日) 9:00-10:00

报告地点 (Place)：校本部GJ303

邀请人(Inviter)：王卿文

主办部门：理学院数学系

报告摘要： In control systems, the study of controllability, observability, and stability can often be transformed into the estimation of the matrix bounds for the Lyapunov matrix differential equation. In this talk, by using the identity transformation of the Lyapunov matrix differential equation and some important eigenvalues inequalities, then some new matrix bounds for the Lyapunov matrix differential equation will be presented. At last, we give some corresponding numerical examples to illustrate the effectiveness and superiority of our results. As an application in linear systems, we show that our derived matrix bounds can be used to discuss the input-output finite-time stability for linear systems.