主讲人：彭世国 广东工业大学教授
时间：2019年11月28日10：30
地点：3号楼301
举办单位：数理学院
主讲人介绍：彭世国：1967年生，广东工业大学自动化学院教授，博士生导师。1989年本科毕业于湘潭大学数学系，分别于1992、1995年获中山大学数学专业硕士学位和博士学位，2018年在美国伊利诺伊大学卡本代尔分校应用数学系访问学习。2004年晋升为教授。近年来主要从事非线性时滞系统的稳定与控制、随机系统的稳定与控制等方面的研究。在IEEE-TAC、IEEE-TFS、SCL、JFI、IET-CTA、JMAA、NA-RWA、NA-TMA、SPL、AJC、IEEE-ACCESS、IJSS、数学年刊、应用数学学报、系统科学与数学、数学物理学报等期刊发表论文80余篇，其中SCI收录论文30余篇，ESI高被引1篇，单篇SCI他引80余次。承担或参与多项国家自然科学基金项目、广东省自然科学基金自由申请项目及广东省自然科学基金团队项目的研究。目前主持一项国家自然科学基金面上项目和一项广东省自然科学基金面上项目。
内容介绍：This talk investigates the problems of input-to-state stability (ISS) and integral input-to-state stability (iISS) of time-varying impulsive delayed systems (including impulsive time-varying deterministic delayed Systems，impulsive time-varying stochastic delayed systems). Some criteria on ISS/iISS which are effective for destabilizing impulses and stabilizing impulses are derived from advanced linear inequalities under average impulsive interval constraints. The conditions which require the coefficients of the linear inequalities on Lyapunov-Krasovskii functionals and Lyapunov-Razumikhin functions to be constants in the existing results on ISS/iISS of impulsive delayed systems are weakened. In this topic, with the aid of the notions of uniformly exponentially stable function and average impulsive interval, the results allow the coefficients of the developed linear inequalities on Lyapunov-Krasovskii functional and Lyapunov-Razumikhin functions to be time-varying functions which can take both positive and negative values, and the impulsive intervals of an impulsive sequence are allowed to have arbitrarily small lower bound and enough big upper bound simultaneously. Several examples are presented to illustrate the effectiveness of our results. Some progress on ISS is also given for discrete-time impulsive time-varying delayed systems.