Switched Homogeneous Copositive Lyapunov Function Approach to Switched Positive Systems

摘要：

　　This paper addresses the stability problem of switched positive systems.The main contribution lies in three aspects.First,the method of switched homogeneous copositive Lyapunov function is proposed to reduce conservativeness of stability criterion of the system considered.Second,a necessary and sufficient condition is established for the existence of such a Lyapunov function,assuming that a switched linear positive system is given.Third,we prove that the conservativeness will reduce as the order of switched homogeneous copositive Lyapunov function increases.A numerical example is elaborated to show the advantage of the obtained results.

关键词： Switched Positive System Switched Homogeneous Copositive Lyapunov Function Stability

作者: Xingwen Liu

作者单位: College of Electrical and Information Engineering,Southwest University for Nationalities of China,Chengdu,Sichuan,610041,China

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 3982-3987

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）