报告人：刘兴文 教授

工作单位：西南民族大学

报告时间：2019年6月27日9：00

报告地点：学院一楼报告厅

报告摘要： Switched systems have broad applications in engineering and many challenges in theory. Stability analysis is a fundamental task in this field. The most popular tool fulfilling such tasks is Lyapunov method; however, it does not work well in the context of delayed switched systems. On this ground, alternative non-Lyapunov method, covering approach, is proposed to surmount the difficulties faced by Lyapunov method. The core lies in: By constructing a cover which covers the trajectories of switched systems starting from a specified region, the stability conclusion follows from the convergence to zero of the covering. With this framework, we have dealt with the following issues:

Asymptotic and exponential stability condition of general switched nonlinear systems;

Exponential stability decomposition conditions (necessary and sufficient conditions) of general cascade switched nonlinear systems;

Asymptotic stability decomposition condition (sufficient condition) of general cascade switched nonlinear systems.

报告人简介：

刘兴文，博士，教授，湖南大学与电子科技大学兼职博士生导师。主要从事控制理论与控制工程方面的研究工作。研究领域主要涉及：切换系统、正系统和泛函微分方程的稳定性、鲁棒控制和博弈。在国际著名IEEE Trans. on Automatic Control和Automatica等期刊和会议上发表科研论文50余篇。主持国家自然基金面上项目3项。获得“教育部新世纪优秀人才支持计划”资助和“四川省杰出青年学术技术带头人资助计划”资助。入选国家民委“领军人才计划”、首批“中青年英才”计划。为四川省创新团队带头人、四川省教育厅创新团队带头人。先后多次到清华大学、北京大学、中科院、香港大学、香港理工大学、香港城市大学、南加州大学等院所进行学术访问和交流。