一类中立型线性微分方程的渐近稳定性Asymptotic stability of kind of neutral linear differential equation
张群力,董秀娟
摘要(Abstract):
讨论了一类中立型线性微分方程的渐近稳定性,得到其零解渐近稳定的新的充分条件.
关键词(KeyWords): 中立型;线性;Lyapunov稳定性
基金项目(Foundation): 菏泽学院科学研究基金项目:非线性系统控制理论及其应用(XY05SX01)
作者(Author): 张群力,董秀娟
DOI: 10.16393/j.cnki.37-1436/z.2005.05.003
参考文献(References):
- [1]Park Ju H.LMI optimization approach to asymptotic stability of certain neutral delay differential equation with time-varying coefficients[J].Applied Mathematics and Computation,2005,160:355-361.
- [2]Agarwalr P,Graces R.Asymptotic stability of certain neutral differential equations[J].Mathematical and Computer Modelling,2000,31:9-15.
- [3]Chen Wu-hua,Guan Zhi-hong.Uniform asymptotic stability for perturbed neutral delay differential equations[J].J.Math.Anal.Appl.2004,291:578-595.
- [4]郭树理,阎绍泽,斯力更.一类具有变时滞的中立型微分方程的Lyapunov稳定性[J].2003,机械动力学专辑:14-16.
- [5]倪涛洋,黎培兴,李彩霞.中立型线性微分方程的稳定性[J].工程数学学报,2005,22:144-146.
- [6]杨冬梅,张庆灵,姚波.广义系统[M].北京:科学出版社,2004.8.