用于无阻尼项二阶时滞微分方程指数稳定性的W变换
W-transform for exponential stability of second order delay differential equations without damping terms.
作者信息
Domoshnitsky Alexander, Maghakyan Abraham, Berezansky Leonid
机构信息
Department of Mathematics, Ariel University, Ariel, Israel.
Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, 84105 Israel.
出版信息
J Inequal Appl. 2017;2017(1):20. doi: 10.1186/s13660-017-1296-0. Epub 2017 Jan 17.
Abstract
In this paper a method for studying stability of the equation [Formula: see text] not including explicitly the first derivative is proposed. We demonstrate that although the corresponding ordinary differential equation [Formula: see text] is not exponentially stable, the delay equation can be exponentially stable.
摘要
本文提出了一种研究方程[公式：见原文]稳定性的方法，该方程不显含一阶导数。我们证明了，尽管相应的常微分方程[公式：见原文]不是指数稳定的，但该时滞方程可以是指数稳定的。
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