题目：Lyapunov Stability Theorems for Infinite-delayed Systems and Their Applications
报告人：冯刚
地点：2号学院楼2202
时间：2024年3月28日15:00
报告人简介
冯刚教授分别于1982年和1984年在南京航空航天大学获得自动控制专业学士和硕士学位，1992年在墨尔本大学（University of Melbourne）获得电气工程博士学位。1992至1999 年，在新南威尔士大学先后担任讲师、高级讲师。自2000 年以来，一直在香港城市大学工作，现为该校机电工程的主席教授。曾获得IEEE计算智能学会模糊系统先锋奖、IEEE Transactions on Fuzzy Systems杰出论文奖、城大杰出研究奖和校长奖、亚历山大·冯·洪堡奖学金以及多项最佳会议论文奖。从2016年开始被Clarivate Analytics列为SCI高被引研究员。主要研究方向为智能系统与控制、网络化控制系统、多智能体系统与控制等。冯教授现为IEEE会士，担任IEEE Trans. Automatic Control, IEEE Trans. Fuzzy Systems, IEEE Trans. Systems, Man, & Cybernetics, Mechatronics, Journal of Systems Science & Complexity, Journal of Guidance, Navigation & Control和Journal of Control Theory and Applications等多个国际著名期刊的副主编，是Unmanned Systems的顾问委员会成员。
报告摘要
This talk presents several Lyapuov stability theorems for infinite-delayed systems and their applications. Those theorems are developed based on a general model of infinite-delayed systems and a newly proved key technical lemma. The stability results are more general than existing stability results, and the corresponding conditions are more easily satisfied than existing ones. These new Lyapunov theorems are then applied to the problems of stabilizing both time-invariant and time-varying linear systems with distributed infinite input delays, and the corresponding stabilizing controllers are developed. A distinctive advantage of the Lyapunov based time domain method proposed in this paper over the existing frequency domain method is that the former can be adopted to deal with more general systems, such as time-varying linear systems or even nonlinear systems. Examples are provided to illustrate the effectiveness of our results.