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〔2023科技创新月〕Invariance Principle for Hybrid Dynamical Systems with Applications
时间：2023-05-29
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摄影： 编辑：吉星雨
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报告人：Xinzhi Liu（刘新芝）
报告人单位：Department of Applied Mathematics, University of Waterloo, Waterloo, Canada
报告时间：2023年5月31日（周三）下午14：00—15：00
会议地点：电气工程与控制科学学院416会议室（崇德楼D416室）
报告人简介：刘新芝教授现任加拿大滑铁卢大学应用数学系教授。1982年在山东师范大学数学系获学士学位。1988年在美国德克萨斯大学阿灵顿分校获博士学位。1988年至1990年在加拿大阿尔伯塔大学作博士后。1990年受聘于滑铁卢大学为助理教授，并于1994年被聘为该校终身教授。刘教授的研究方向包括:混合动力系统,非线性系统控制及稳定性,复杂网络的同步,通讯网络模型,传染病模型等。已发表学术论文400余篇，学术专著6部,学术编著20余部。
报告摘要：There has been a growing interest in hybrid dynamical systems in recent years. Such systems often undergo vector field switching and/or state jumps due to sudden changes in model characteristics. By introducing the notions of persistent limit set and persistent mode, we extend the classical LaSalle's invariance principle to hybrid systems exhibiting both impulses and switching. A weak invariance principle is established for such systems, under a weak dwell-time condition on the impulsive and switching signals. This weak invariance principle is then applied to derive asymptotic stability criteria for impulsive switched systems. As an application, we investigate a switched SEIR epidemic model with pulse treatment and establish sufficient conditions for the global asymptotic stability of the disease-free solution under weak dwell-time signals.
审核：薄翠梅
