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

共 25 条

[11] Positive Linear Systems Consisting of n Subsystems With Different Fractional Orders [J].

Kaczorek, Tadeusz .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (06) :1203-1210

[12]

Kunkel P., 2006, Differential-Algebraic Equations. Analysis and Numerical Solution

[13] Stability, l1-gain and l∞-gain analysis for discrete-time positive switched singular delayed systems [J].

Li, Shuo ;

Xiang, Zhengrong .

APPLIED MATHEMATICS AND COMPUTATION, 2016, 275 :95-106

[14] Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays [J].

Liu, Xingwen ;

Yu, Wensheng ;

Wang, Long .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (04) :1024-1028

[15] Stability Analysis of Positive Systems With Bounded Time-Varying Delays [J].

Liu, Xingwen ;

Yu, Wensheng ;

Wang, Long .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2009, 56 (07) :600-604

[16] EQUILIBRIA, STABILITY, AND REACHABILITY OF LESLIE SYSTEMS WITH NONNEGATIVE INPUTS [J].

MURATORI, S ;

RINALDI, S .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (09) :1065-1068

[17] On exponential stability of linear singular positive delayed systems [J].

Phat, V. N. ;

Sau, N. H. .

APPLIED MATHEMATICS LETTERS, 2014, 38 :67-72

[18] Positivity of discrete singular systems and their stability: An LP-based approach [J].

Rami, Mustapha Ait ;

Napp, Diego .

AUTOMATICA, 2014, 50 (01) :84-91

[19] l∞/L∞-Gain Analysis for Positive Linear Systems With Unbounded Time-Varying Delays [J].

Shen, Jun ;

Lam, James .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (03) :857-862

[20] On l∞ and L∞ gains for positive systems with bounded time-varying delays [J].

Shen, Jun ;

Lam, James .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (11) :1953-1960

← 1 2 3 →