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

被引:0
作者
Huitao Yang
Yu Zhang
Xuan Huang
Shanshan Hong
机构
[1] Jinggangshan University,School of Mathematics and Physics
[2] Tongji University,School of Mathematical Sciences
来源
Circuits, Systems, and Signal Processing | 2022年 / 41卷
关键词
Coupled differential–difference equations; Positive systems; Exponential stability; Max-separable Lyapunov functions;
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学科分类号
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.
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页码:762 / 788
页数:26
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