Stability Analysis for Positive Singular Systems With Time-Varying Delays

被引：69

作者：

Cui, Yukang ^{[1
]}

Shen, Jun ^{[2
]}

Feng, Zhiguang ^{[3
,4
]}

Chen, Yong ^{[1
]}

机构：

[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 211106, Jiangsu, Peoples R China

[3] Harbin Engn Univ, Coll Automat, Harbin 150001, Heilongjiang, Peoples R China

[4] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 3000, Australia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2018年 / 63卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Delay systems; positive singular systems; stability of linear systems; time-varying systems; EXPONENTIAL STABILITY; INVARIANT POLYHEDRA; DESCRIPTOR SYSTEMS; DISCRETE;

D O I：

10.1109/TAC.2017.2749524

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 paper is concerned with the stability analysis for continuous-time positive singular systems with time-varying delays. First, an auxiliary system is introduced to establish the positivity condition for singular time-delay systems. Based on the positivity condition, the stability criterion is obtained for the positive singular systems with constant delays. By analyzing the monotonic property of the system trajectory, we extend the stability condition to the cases with time-varying delays. A numerical simulation is employed to illustrate the effectiveness of our results.

引用

页码：1487 / 1494

页数：8

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