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