间歇框架下的固定时间收敛性及耦合网络的应用

主 讲 人 ：武永宝    助理研究员

活动时间：11月17日09时00分    

地      点 ：腾讯会议 会议号：488-494-939

讲座内容：

In this talk, the fixed-time synchronization of complex networks with and without time-varying delay under an aperiodically intermittent control (AIC) strategy is studied. For the AIC strategy, two key technical lemmas are proposed, which can be used to study the fixed-time synchronization of general complex networks and multi-agent systems. Furthermore, a novel Lyapunov function is proposed to overcome difficulties in the fixed-time synchronization of general complex networks and multi-agent systems under an AIC strategy. The Lyapunov function proposed is also applicable to the study of finite-time synchronization of general complex networks and multi-agent systems under an AIC strategy. In particular, the exponential synchronization of general complex networks and multi-agent systems can be studied using the proposed Lyapunov function under asynchronous AIC (with the nodes of the general complex networks and multi-agent systems involving different AIC strategies), which is different from the commonly used method involving synchronous AIC. The proof can be simplified for exponential synchronization of general complex networks and multi-agent systems under asynchronous/synchronous AIC strategies, and the complex mathematical induction method can be avoided. Unlike traditional AIC (in which there are upper and lower boundary restrictions on the rest and control intervals, respectively), the average control rate is used, which allows results with less conservatism to be obtained.

主讲人介绍：

武永宝，现为东南大学自动化学院助理研究员、硕士生导师、至善博士后。已发表第一作者SCI论文40余篇，包括：Automatica; IEEE Transactions系列期刊，热点论文1篇，高被引论文4篇。主持国家青年基金、江苏省青年基金、中国博士后特别资助项目、中国博士后面上项目、江苏省卓越博士后计划。曾获得宝钢教育奖优秀学生奖、山东省高等学校科学技术奖等。主要从事随机复杂网络、随机微分方程、多智能体系统方面的研究。

发布时间：2024-11-15 10:19:57