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中立型线性时滞微分方程的渐近稳定性
Asymptotic Stability of Linear Neutral Type Differential Equations
【摘要】 讨论了具有一个时滞的中立型线性时滞微分方程的渐近稳定性 ,给出了系统渐近稳定的充分条件 ,同时还讨论了这类方程的稳定度 .文末给出了本文结果的一个示例
【Abstract】 The asymptotic stability of linear neutral type differential equation with one delay is studied and a sufficient condition for the asymptotic stability of the solutions of this equation is given. Additionally, the stability degree of this equation is also discussed. In the end, an example is given to illustrate the results.
【关键词】 时滞;
中立型系统;
渐近稳定性;
稳定度;
【Key words】 time-delay; neutral type system; asymptotic stability; stability degree;
【Key words】 time-delay; neutral type system; asymptotic stability; stability degree;
- 【文献出处】 长沙电力学院学报(自然科学版) ,JOURNAL OF CHANGSHA UNIVERSITY OF ELECTRIC POWER(NATURAL SCIENCE) , 编辑部邮箱 ,2000年02期
- 【分类号】O175.2
- 【下载频次】36