Extending LaSalle’s invariance principle to impulsive switched systems with an application to hybrid epidemic dynamics

摘要：

By introducing the notions of persistent limit set and persistent mode, we extend the classical LaSalles invariance principle to hybrid systems exhibiting both impulses and switchings. 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 two asymptotic stability criteria for impulsive switched systems. As an application of the stability criteria,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.

关键词： Switched system Impulsive system Hybrid system Invariance principle Stability Weak dwell-time Multiple Lyapunov functions Hybrid SEIR model

作者: Jun Liu Xinzhi Liu Wei-Chau Xie

作者单位: Department of Applied Mathematics University of Waterloo,Waterloo, Ontario N2L 3G1, Canada Department of Civil and Environmental EngineeringUniversity of Waterloo,Waterloo, Ontario N2L 3G1, C

会议类型: 国际会议

会议名称: The 22nd China Control and Decision Conference(2010年中国控制与决策会议)

会议地点: 徐州

会议语种:英文

页码: 136-141

在线出版日期: 2010-05-26（万方平台首次上网日期，不代表论文的发表时间）