摘要
利用李雅普若夫第二方法结合LMI(线性矩阵不等式)方法讨论了中立型时滞微分系统的渐近稳定性,获得了该系统零解渐近稳定的充分条件,同时得到了易于判断系统渐近稳定的时滞无关与时滞相关的LMI不等式.通过实例比较表明文中结论推广并改进了现有文献中的结论.
Asymptotic stability of neutral delay systems was discussed by the Lyapunov second method together with LMI （linear matrix inequality） approach, and sufficient conditions for the trivial solution of the systems were obtained. Meanwhile, LMI with delay-independence and delay-dependence, which were easy to judge asymptotic stability, were established. Examples show that the results in the paper generalize the results in existing references.
出处
《三峡大学学报（自然科学版）》
CAS
2005年第6期563-567,共5页
Journal of China Three Gorges University：Natural Sciences
基金
国家自然科学基金(60074008
60474011)
湖北省自然科学基金资助项目(2004ABA055)
