Stability of Positive Differential Systems With Delay
Stability of Positive Differential Systems With Delay
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DOI：
10.1109/tac.2012.2203031
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发表时间：
2013
影响因子：
6.8
通讯作者：
P. H. A. Ngoc
中科院分区：
文献类型：
--
作者：
P. H. A. Ngoc
首先证明了具有分布时滞的线性时变微分系统的一个显式判别准则。在此基础上，给出了线性定常时滞微分系统指数稳定性的简单判据。最后，我们将所得结果推广到线性时变时滞微分系统和非线性时滞微分系统。本文给出的结果是[7]，[11]和[14]中某些最近结果的推广。
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 ,[7],[11] and [14].