求是数学论坛系列报告 2022年第4讲

报告题目：Finite-time stability of impulsive differential inclusion: Applications to discontinuous impulsive neural networks

报告人：王增赟教授

报告时间：2022年6月14日14：00-15：00

报告地点：数学与统计学院一楼会议室

报告摘要：In this talk, we present several results on Finite-Time Stability (FTS) of impulsive differential inclusion. In order to investigate the FTS problem, a new concept of Finite-Time Stable Function Pair (FTSFP) is proposed. By virtue of average impulsive interval and FTSFP, two unified criteria on FTS of impulsive differential inclusion are obtained, which are effective for both the destabilizing impulses and the stabilizing impulses. In addition, the settling-time depends not only on the initial value, but also on the information of impulsive sequence. As an extension, a delay-independent FTS result of impulsive delayed differential inclusion is presented. Finally, the obtained results are applied to study the FTS of discontinuous impulsive neural networks.

报告人简介：王增赟教授，湖南第一师范学院教授，硕士生导师,湖南省数学会理事。主要研究领域是微分包含理论和不连续微分方程理论，主持完成了多项国家自然科学基金项目和省自然科学基金，湖南省青年骨干教师，美国《数学评论》评论员。在《IEEE Transactions on Cybernetics》,《Chaos》，《Discrete and Continuous Dynamical System》,《Proceedings of the royal society-A 》等期刊发表多篇学术论文。