标题：Exponential stability for positive switched linear systems with delays and impulses
作者：Liu, Zhi ;Wang, Yuzhen ;Zhao, Guodong
作者机构：[Liu, Zhi ;Wang, Yuzhen ;Zhao, Guodong ] School of Control Science and Engineering, Shandong University, Jinan; 250061, China
会议名称：Proceedings of the 33rd Chinese Control Conference, CCC 2014
会议日期：28 July 2014 through 30 July 2014
来源：Proceedings of the 33rd Chinese Control Conference, CCC 2014
关键词：average dwell time; delay; Exponential stability; impulse; positive switched system
摘要：This paper studies the exponential stability of positive switched linear systems with delays and impulses. First, based on the multiple linear co-positive Lyapunov functional approach and the average dwell time method, a delay-dependent exponential stability criterion is presented for the positive switched linear system with time-varying delays. Second, the nonlinear impulsive effect occurring at the switching times is considered. By keeping impulsive perturbation within reasonable bounds and establishing multiple co-positive Lyapunov function, a sufficient condition is obtained for globally uniformly exponentially stable of impulsive positive switched system. Finally, an illustrative example is studied to support our new results. © 2014 TCCT, CAA.