Stability of Positive Differential Systems With Delay

Ngoc P. H. A.

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Stability of Positive Differential Systems With Delay

机译：时滞微分系统的稳定性。

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摘要

We first prove an explicit criterion for positive linear time-varying differential systems with distributed delay. Then some simple criteria for exponential stability of positive linear time-invariant differential systems with delay are presented. Finally, we extend obtained results to linear differential systems with time-varying delay and to nonlinear differential systems with delay. The results given in this technical note are extensions of some recent results in , , and .

机译：我们首先证明具有分布时滞的正线性时变微分系统的显式准则。然后给出了带有时滞的正线性时不变微分系统指数稳定性的一些简单判据。最后，我们将获得的结果扩展到具有时变时滞的线性微分系统和具有时滞的非线性微分系统。本技术说明中给出的结果是，和< citerefgrp> 。

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来源
《IEEE Transactions on Automatic Control》 |2013年第1期|203-209|共7页
作者
Ngoc P. H. A.;
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作者单位

Department of Mathematics, International University, Saigon, Viet Nam;

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正文语种 eng
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关键词
Biological system modeling; Delay; Linear matrix inequalities; Stability criteria; Time varying systems; Vectors; Exponential stability; positive system; time delay system;

机译：生物系统建模;延迟;线性矩阵不等式;稳定性标准;时变系统;向量;指数稳定性积极系统;延时系统;

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机译：具有多个时变时滞的线性差分系统的内部正表示和稳定性分析
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3. Positivity, exponential stability and disturbance attenuation performance for singular switched positive systems with time-varying distributed delays [J] . Applied mathematics and computation . 2020,第期

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Stability of Positive Differential Systems With Delay

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