L∞-gain analysis for positive singular time-delay systems

被引：15

作者：

Cui, Yukang ^{[1
]}

Feng, Zhiguang ^{[2
,3
]}

Shen, Jun ^{[4
]}

Chen, Yong ^{[1
]}

机构：

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

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

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

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

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 13期

基金：

中国国家自然科学基金;

关键词：

COMPARTMENTAL DYNAMICAL-SYSTEMS; LINEAR-SYSTEMS; STABILITY;

D O I：

10.1016/j.jfranklin.2017.05.006

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 devoted to the characterization of L-infinity-gain for positive singular systems with time-varying delays. First, we introduce an augmented system to replace the original system in order to analyze the positivity of singular systems with time-varying delays. By investigating the monotonicity of state trajectory, the L-infinity-gain for singular system with constant delays is characterized. Then, by comparing the trajectories of time-varying delay system and constant delay case, we finally propose the L-infinity-gain for singular system with time-varying delays. It is shown that the L-infinity-gain of positive singular systems is independent of the magnitude of delays. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：5162 / 5175

页数：14

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