Exponential stability analysis for positive systems with delays

被引：66
作者：
Zhu, S. [1 ]
Li, Z. [2 ]
Zhang, C. [3 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
[2] Shandong Univ Finance & Econ, Sch Stat, Jinan 250014, Peoples R China
[3] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2012年 / 6卷 / 06期
关键词：
DISCRETE-TIME-SYSTEMS; LINEAR-SYSTEMS;
D O I：
10.1049/iet-cta.2011.0133
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This study investigates the exponential stability analysis problem for continuous-time and discrete-time positive linear systems with delays. For given decay rate, necessary conditions for exponential stability of such systems are presented based on the asymptotical stability results of positive linear time-delay systems, and sufficient conditions are provided by using Lyapunov-Krasovskii functional method. It is shown that, the exponential stability with given decay rate of positive linear time-delay systems has to do with the delays. Some illustrative examples are given to show the correctness of the obtained theoretical results.
引用
收藏
页码：761 / 767
页数：7
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