讲座主题：Delay-dependent stability and hybrid-gain analysis of linear impulsive time-delay systems

主讲人： 陈武华

工作单位：广西大学

活动时间：2020年11月8日19:00-19:50

讲座地点：腾讯会议会议ID：106 694 910

主办单位：烟台大学数学与信息科学学院

内容摘要：

In this talk, a new approach for analyzing delay-dependent stability and hybrid $L_2\times l_2$-gain performance of linear impulsive delay systems is presented. The new approach is inspired by the delay-partitioning method, the timer-dependent Lyapunov functional method, and the looped-functional method. In the delay-partitioning framework, a new type of timer-dependent Lyapunov functional is constructed, which depends on the partition on impulse intervals and also on impulse dynamics. Different from the previous discontinuous Lyapunov functionals, the introduced Lyapunov functional is continuous along the trajectories of the considered impulsive delay system. Consequently, two different problems of exponential stability and hybrid $L_2\times l_2$-gain performance are tackled by using the same class of Lyapunov functionals. It is shown that the positive definiteness of this Lyapunov functional inside impulse intervals is not necessary for proving exponential stability. By use of new integral inequalities based techniques, delay-dependent criteria for exponential stability and finite hybrid $L_2\times l_2$-gain are established in terms of linear matrix inequalities. Numerical examples are provided to illustrate the efficiency of the new approach.

主讲人介绍：

广西大学二级教授、博士生导师，第九届广西青年科技奖获得者，先后入选2012年湖北省“楚天学者”计划和2016年浙江省“钱江学者”特聘教授，以及2014-2018年度”控制与系统工程“领域爱思唯尔中国高被引学者榜单。近年来，主要从事脉冲系统、切换系统、奇异摄动系统稳定与控制方面的研究。在TAC、Automatica等重要期刊上发表SCI论文80余篇。