Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays
Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays
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DOI：
10.1109/tac.2010.2041982
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发表时间：
2010-02
影响因子：
6.8
通讯作者：
Xingwen Liu;Wensheng Yu;Long Wang
中科院分区：
文献类型：
--
作者：
Xingwen Liu;Wensheng Yu;Long Wang
研究了具有时变时滞的连续时间正系统的稳定性问题。证明了对于任意连续有界时滞，这样的系统是渐近稳定的当且仅当所有系统矩阵之和是一个Hurwitz矩阵。其结果是一个时变版本的广为人知的渐近稳定性标准的常时滞正系统。数值例子说明了结果的正确性。
This note addresses the stability problem of continuous-time positive systems with time-varying delays. It is shown that such a system is asymptotically stable for any continuous and bounded delay if and only if the sum of all the system matrices is a Hurwitz matrix. The result is a time-varying version of the widely-known asymptotic stability criterion for constant-delay positive systems. A numerical example illustrates the correctness of our result.