Stability Analysis of Positive Systems With Bounded Time-Varying Delays

被引：167
|
作者：
Liu, Xingwen [1 ]
Yu, Wensheng [2 ,3 ]
Wang, Long [4 ,5 ]
机构：
[1] SW Univ Nationalities, Inst Elect & Informat Engn, Chengdu 610041, Peoples R China
[2] Chinese Acad Sci, Inst Automat, Key Lab Complex Syst & Intelligence Sci, Beijing 100080, Peoples R China
[3] E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
[4] Peking Univ, Minist Educ, Key Lab Machine Percept, Beijing 100871, Peoples R China
[5] Peking Univ, Minist Educ, Ctr Syst & Control, Coll Engn, Beijing 100871, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2009年 / 56卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Linear copositive Lyapunov function (functional); positive linear system; stability; time-varying delays; LINEAR-SYSTEMS;
D O I：
10.1109/TCSII.2009.2023305
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This brief addresses stability of the discrete-time positive systems with bounded time-varying delays and establishes some necessary and sufficient conditions for asymptotic stability of such systems. It turns out that, for any bounded time-varying delays, the magnitude of the delays does not affect the stability of these systems. In other words, system stability is completely determined by the system matrices.
引用
收藏
页码：600 / 604
页数：5
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