Exponential Stability of Linear Delay Impulsive Differential Equations
Exponential Stability of Linear Delay Impulsive Differential Equations
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DOI：
10.1006/jmaa.1995.1275
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发表时间：
1993-11
影响因子：
1.3
通讯作者：
A. Anokhin;L. Berezansky;Eric P. Braverman
中科院分区：
文献类型：
--
作者：
A. Anokhin;L. Berezansky;Eric P. Braverman
对于具有有界时滞和有界系数的脉冲时滞微分方程，得到了如下结果。如果每个解在[0，∞)上有界，并且它的导数在每个有界的右边，则方程是指数稳定的。给出了一个显式稳定性定理。
For an impulsive delay differential equation with bounded delay and bounded coefficients the following result is established. If each solution is bounded on [0, ∞), together with its derivative for each bounded right-hand side then the equation is exponentially stable. An explicit stability theorem is presented.