Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays

被引：249
作者：
Liu, Xingwen [1 ,2 ]
Yu, Wensheng [3 ]
Wang, Long [4 ,5 ]
机构：
[1] SW Univ Nationalities China, Coll Elect & Informat Engn, Chengdu 610041, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 610054, Sichuan, Peoples R China
[3] E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
[4] Peking Univ, Coll Engn, Ctr Syst & Control, Beijing 100871, Peoples R China
[5] Peking Univ, Minist Educ, Key Lab Machine Percept, Beijing 100871, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 04期
基金：
美国国家科学基金会;
关键词：
Asymptotic stability; linear copositive Lyapunov functional; positive system; time-varying delays; NONNEGATIVE REALIZATION; LINEAR-SYSTEMS; STABILIZATION;
D O I：
10.1109/TAC.2010.2041982
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 note addresses the stability problem of continuous-time positive systems with time-varying delays. It is shown that such a system is asymptotically stable for any continuous and bounded delay if and only if the sum of all the system matrices is a Hurwitz matrix. The result is a time-varying version of the widely-known asymptotic stability criterion for constant-delay positive systems. A numerical example illustrates the correctness of our result.
引用
收藏
页码：1024 / 1028
页数：5
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