Stability of positive continuous-time linear systems with delays
Stability of positive continuous-time linear systems with delays
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DOI：
10.23919/ecc.2009.7074637
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发表时间：
2009-08
期刊：
影响因子：
--
通讯作者：
T. Kaczorek
中科院分区：
文献类型：
--
作者：
T. Kaczorek
研究了连续线性时滞正系统的渐近稳定性。结果表明：1）正时滞系统的渐近稳定性与其时滞无关; 2）正时滞系统的渐近稳定性检验可归结为正无时滞系统的渐近稳定性检验。给出了正时滞系统稳定性的简单条件，并通过数值例子加以说明。
The asymptotic stability of positive continuous-time linear systems with delays is addressed. It is shown that: 1) the asymptotic stability of the positive systems with delays is independent of their delays, 2) the checking of the asymptotic stability of the positive systems with delays can be reduced to checking of the asymptotic stability of positive systems without delays. Simple stability conditions for the positive systems with delays are give and illustrated by numerical examples.