讲座主题：Stability analysis for dynamic systems with semi-Markov switching

主讲人： 吴小太

工作单位：安徽工程大学

活动时间：2021年6月9日 20:30--21:10

讲座地点：腾讯会议 会议ID：542 986 162

主办单位：烟台大学数学与信息科学学院

内容摘要：

This report is concerned with the problem of exponential stability for semi-Markov jump stochastic nonlinear systems. It is well known that the semi-Markov chain is an extension of the Markov chain, whose sojourn time distribution depends on the current and next state, and is no longer limited to the exponential distribution. However, in existing works, the independence and the distribution function limitation are imposed on the sojourn time of semi-Markov jump systems. In this paper, by developing a new stochastic analysis method, the problem of exponential stability is investigated for semi-Markov jump stochastic nonlinear systems without additional constraints for the sojourn time. In addition, mode-dependent linear comparable relationships are assumed among Lyapunov like functions, which can effectively reduce the conservatism caused by mode-independent case. Two examples are presented to demonstrate the effectiveness of the proposed results.

主讲人介绍：

吴小太，博士，安徽工程大学教授，硕士生导师，安徽省“皖江学者”特聘教授、安徽省杰出青年基金获得者、安徽省高校拔尖人才、安徽省学科带头人后备人选、安徽省教坛新秀。2012年毕于东华大学控制理论与控制工程专业，获工学博士学位，现为中国指挥与控制学会智能控制与系统专业委员会委员、中国自动化学会控制理论专业委员会随机系统控制学组委员、安徽省数学会理事。主持3项国家自然科学基金项目以及多项安徽省省级基金项目；研究成果获2020年安徽省自然科学