Stability analysis of positive switched systems via joint linear copositive Lyapunov functions

作者：Sun, Yuangong^*

来源：Nonlinear Analysis: Hybrid Systems , 2016, 19: 146-152.

DOI：10.1016/j.nahs.2015.09.001

• Positive switched system
• Stability
• Joint linear copositive Lyapunov function
• Time delay

In this paper, we study the asymptotic stability of continuous-time positive switched linear systems for the case when each subsystem is only stable. By using the so-called "joint linear copositive Lyapunov function" (JLCLF) generalizing the common linear copositive Lyapunov function, we show that the system remains asymptotically stable under appropriate switching if it has a JLCLF. Then, the main result is extended to positive switched linear systems with time delay.

• 出版日期2016-2
• 单位济南大学