Asymptotic stability of a certain fourth-order delay differential equation

被引：0
|
作者：
Yao H. [1 ]
Wang J. [1 ]
机构：
[1] Faculty of Science, Jiangsu University, Zhenjiang
来源：
Jiangsu Daxue Xuebao (Ziran Kexue Ban)/Journal of Jiangsu University (Natural Science Edition) | 2010年 / 31卷 / 05期
关键词：
Asymptotic stability; Delay differential equation; Fourth-order delay; Lyapunov function; Variable delay;
D O I：
10.3969/j.issn.1671-7775.2010.05.025
中图分类号：
学科分类号：
摘要：
By analogy to Lyapunov function, whether or not an appropriate Lyapunov function can be constructed is the key to the study of the stability of nonlinear time-delay system. A class of fourth-order differential equation is studied. By constructing sufficient conditions of the asymptotic stability of zero solution of equation, the adequate criteria of the asymptotic stability of zero solution of equation is obtained.
引用
收藏
页码：616 / 620
页数：4
相关论文
共 9 条
  • [1] Tunc C., On the stability of solutions to a certain fourth-order delay differential equation, Nonlinear Dyn, 51, pp. 71-81, (2008)
  • [2] Yao H., Meng W., Global asymptotic stability of a class of third-order nonlinear delay system, Journal of Jiangsu University: Natural Science Edition, 29, 3, pp. 269-272, (2008)
  • [3] Yao H., Meng W., On the stability of solutions of certain third-order delay differential equations, International Journal of Nonlinear Science, 5, pp. 1-8, (2008)
  • [4] Omeike M.O., Further results on global stability of third order nonlinear differential equations, Nonlinear Analysis, 67, 12, pp. 3394-3400, (2007)
  • [5] Sadek A.I., On the stability of solutions of some nonau tonomous delay differential equations of the third order, Asymptotic Anal, 43, 1-2, pp. 1-7, (2005)
  • [6] Tunc C., A note on the stability and boundedness results of solutions of certain fourth order differential equations, Appl Math Comput, 155, 3, pp. 837-843, (2004)
  • [7] Sadek A.I., Stability and boundedness of a kind of third-order delay differential system, Appl Math Lett, 16, 5, pp. 657-662, (2003)
  • [8] Zhang L., Wu Y., Globally asymptotic stability of a class of third-order nonlinear system, College Mathematics, 23, 1, pp. 70-74, (2007)
  • [9] pp. 264-266, (1987)
1