Exact stability criteria for delay differential and difference equations
Exact stability criteria for delay differential and difference equations
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DOI：
10.1016/j.aml.2006.03.012
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发表时间：
2007-02
期刊：
影响因子：
--
通讯作者：
H. Matsunaga
中科院分区：
文献类型：
--
作者：
H. Matsunaga
对于具有一系数矩阵A的线性时滞微分方程和差分方程，我们给出了关于trA、delta和时滞参数的方程渐近稳定的充分必要条件。本文还总结了一类线性时滞微分方程和差分方程的精确稳定性判据。
For linear delay differential and difference equations with one coefficient matrix A, we give explicit necessary and sufficient conditions for the asymptotic stability of the equations in terms of trA, detA and the delay parameter. We also summarize some exact stability criteria for certain classes of linear delay differential and difference equations.