Delay-Dependent Positivity and Stability Analysis of Discrete-Time Systems With Delay

被引：2

作者：

Le Van Hien ^{[1
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam

来源：

IEEE CONTROL SYSTEMS LETTERS | 2022年 / 6卷

关键词：

Delays; Stability criteria; Mathematical models; Discrete-time systems; Asymptotic stability; Linear systems; Trajectory; Positive systems; delay-dependent positivity; stability analysis; INTERVAL OBSERVERS; LINEAR-SYSTEMS;

D O I：

10.1109/LCSYS.2022.3170512

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this letter, delay-dependent positivity and stability conditions, which are crucially different from existing delay-independent ones, are derived for discrete-time systems with time-varying delay. By utilizing a special property called non-oscillatory behavior of solutions of scalar difference equations with delays, the proposed conditions are formulated in terms of linear programming settings. The efficiency of the obtained results is illustrated by a numerical example with simulations.

引用

页码：2575 / 2580

页数：6

共 21 条

[1]

Rami MA, 2009, LECT NOTES CONTR INF, V389, P205, DOI 10.1007/978-3-642-02894-6_20

[2] Stability and performance analysis of linear positive systems with delays using input-output methods [J].

Briat, Corentin .

INTERNATIONAL JOURNAL OF CONTROL, 2018, 91 (07) :1669-1692

[3] Static Output-feedback Controller Synthesis for Positive Systems under l∞ Performance [J].

Chen, Xiaoming ;

Chen, Mou ;

Wang, Liqun ;

Shen, Jun ;

Hu, Jiapan .

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (11) :2871-2880

[4] l1-induced norm and controller synthesis of positive systems [J].

Chen, Xiaoming ;

Lam, James ;

Li, Ping ;

Shu, Zhan .

AUTOMATICA, 2013, 49 (05) :1377-1385

[5] A positivity-based approach to delay-dependent stability of systems with large time-varying delays [J].

Domoshnitsky, Alexander ;

Fridman, Emilia .

SYSTEMS & CONTROL LETTERS, 2016, 97 :139-148

[6]

Ebihara Y., 2016, LECT NOTES CONTROL I, V471

[7] Linear interval observers under delayed measurements and delay-dependent positivity [J].

Efimov, Denis ;

Fridman, Emilia ;

Polyakov, Andrey ;

Perruquetti, Wilfrid ;

Richard, Jean-Pierre .

AUTOMATICA, 2016, 72 :123-130

[8]

Farina L., 2000, PUR AP M-WI, DOI 10.1002/9781118033029

[9] Exponential Stability of Homogeneous Positive Systems of Degree One With Time-Varying Delays [J].

Feyzmahdavian, Hamid Reza ;

Charalambous, Themistoklis ;

Johansson, Mikael .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (06) :1594-1599

[10] Stability theory for nonnegative and compartmental dynamical systems with time delay [J].

Haddad, WM ;

Chellaboina, VS .

SYSTEMS & CONTROL LETTERS, 2004, 51 (05) :355-361

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