Exponential stability analysis for positive systems with delays
Exponential stability analysis for positive systems with delays
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DOI：
10.1049/iet-cta.2011.0133
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发表时间：
2011-07
期刊：
影响因子：
--
通讯作者：
Shuqian Zhu;Zhenbo Li;Chenghui Zhang
中科院分区：
文献类型：
--
作者：
Shuqian Zhu;Zhenbo Li;Chenghui Zhang
研究了连续和离散时滞正系统的指数稳定性分析问题。基于线性正时滞系统的渐进稳定性结果，给出了此类系统指数稳定的必要条件，并利用Lyapunov-Krasovskii泛函方法给出了充分条件。结果表明，正时滞系统的指数稳定性与时滞的大小有关，而与时滞无关的正时滞系统的渐近稳定性不同.最后给出了几个算例，说明了所得理论结果的正确性。
This paper investigates the exponential stability analysis problem for continuous-time and discrete-time positive systems with delays. Necessary conditions for exponential stability of such systems are presented based on the asymptotical stability results of linear positive time-delay systems, and sufficient conditions are provided by using Lyapunov-Krasovskii functional method. It is shown that, unlike asymptotical stability of positive time-delay systems, which is independent of delays, exponential stability of positive time-delay systems has to do with the magnitude of delays. Some illustrative examples are given to show the correctness of the obtained theoretical results.