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〔2023科技創新月〕Invariance Principle for Hybrid Dynamical Systems with Applications
時間：2023-05-29
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攝影： 編輯：吉星雨
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報告人：Xinzhi Liu（劉新芝）
報告人單位：Department of Applied Mathematics, University of Waterloo, Waterloo, Canada
報告時間：2023年5月31日（周三）下午14：00—15：00
會議地點：電氣工程與控制科學學院416會議室（崇德樓D416室）
報告人簡介：劉新芝教授現任加拿大滑鐵盧大學應用數學系教授。1982年在山東師范大學數學系獲學士學位。1988年在美國德克薩斯大學阿靈頓分校獲博士學位。1988年至1990年在加拿大阿爾伯塔大學作博士后。1990年受聘于滑鐵盧大學為助理教授，并于1994年被聘為該校終身教授。劉教授的研究方向包括:混合動力系統,非線性系統控制及穩定性,復雜網絡的同步,通訊網絡模型,傳染病模型等。已發表學術論文400余篇，學術專著6部,學術編著20余部。
報告摘要：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.
審核：薄翠梅
