Positivity and Exponential Stability of Coupled Homogeneous Time-Delay Differential-Difference Equations of Degree One

被引：5

作者：

Yang, Huitao ^{[1
]}

Zhang, Yu ^{[2
]}

Huang, Xuan ^{[1
]}

Hong, Shanshan ^{[2
]}

机构：

[1] Jinggangshan Univ, Sch Math & Phys, Jian 343009, Jiangxi, Peoples R China

[2] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2022年 / 41卷 / 02期

关键词：

Coupled differential-difference equations; Positive systems; Exponential stability; Max-separable Lyapunov functions; KRASOVSKII METHODOLOGY; ASYMPTOTIC STABILITY; SYSTEMS; DISCRETE;

D O I：

10.1007/s00034-021-01828-0

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper investigates the global exponential stability of coupled homogeneous positive time-delay differential-difference equations of degree one. By using max-separable Lyapunov functions, a sufficient criterion for coupled homogeneous positive time-delay differential-difference equations of degree one is obtained. It should be noted that it is the first time that the exponential stability result for coupled homogeneous positive time-delay differential-difference equations of degree one is given. A numerical example is presented to demonstrate the effectiveness of the derived results.

引用

页码：762 / 788

页数：27

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