时滞积分不等式与应用

Delay Integral Inequality and Its Applications

  • 摘要: 推广了Halanay的时滞微分不等式,建立了一个时滞积分不等式。这一不等式包含了Ha-lanay时滞微分不等式。将此不等式用于研究中立型系统的稳定性问题,获得了判别系统大范围指数稳定的简洁、实用的充分准则。

     

    Abstract: A delay differential inequality,which is of impartance to the research for the stability of delay system,was established in Ref. by A.Halanay.However,as far as the stability of Neutral system is concerned,Halanay's inequality is hard to apply.This paper generalizes the delay differential inequality and establishes a delay integral inequality.Applying this inequality to study the neutral differential equations,some simple sufficient criteria are obtained for judging global exponential stability.

     

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