L1-induced Performance Analysis for Continuous Positive Time-delay Systems
The problem of L1-induced performance analysis for continuous positive systems with time-delay is investigated in this paper. At first, we propose a integral method to compute the value of the system L1-induced norm, and the relationship between the transfer function and L1-induced norm of such systems is obtained. Then, the necessary and sufficient condition is given to ensure that such systems are asymptotically stable and have a prescribed L1-induced performance by linear Lyapunov function. At last, we get a conclusion that time-delay is independent of the L1-induced performance of such systems.
Positive systems Linear Lyapunov function L1-induced norm Time-delay
Cuihong Wang Zhuanxia Yang Huili Yang
Department of Mathematics and Computer Science, Shanxi Normal University, Linfen Shanxi 041004, China
国际会议
长沙
英文
44-48
2014-05-31（万方平台首次上网日期，不代表论文的发表时间）