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一类非线性时滞微分方程的K-全局稳定性 被引量：2

K-global Stability of a Class of Nonlinear System with Time-Delay
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摘要 研究了一类非线性时滞微分方程的K-全局稳定性问题,利用不等式技巧和常数变易法,给出了时滞非线性系统的K-全局指数稳定和K-全局渐近稳定的充分条件。 The K - global stability of a class of nonlinear systems with time delays is investigated. By the virtue of inequality analytic method and the method of variation of parameters, the sufficient conditions of K -global stability for nonlinear system with time -delay are obtained.
作者 韩天勇 李树勇
机构地区 四川师范大学数学院
出处 《西南科技大学学报》 CAS 2005年第3期74-78,共5页 Journal of Southwest University of Science and Technology
关键词 非线性 时滞 K-稳定性 nonlinear delay K - stability
分类号 O175.5 [理学—基础数学]
  • 相关文献

参考文献5

  • 1Hale,J.K.Theory of Functional Differential Functions[M].New York:Springer-Verlag,1977.
  • 2Shuyong Li and Daoyi Xu.Asymptotic Behavior of Nonlinear Parabolic Partial Functional Differential Equations[J].Journal of Mathematical Research ＆ Exposition.2003,23(3):449-455.
  • 3张毅,章毅,王慕秋.非线性时滞微分不等式及其应用[J].科学通报,1993,38(16):1455-1458. 被引量：25
  • 4章毅,张毅,王联.非线性时滞系统的K-稳定性[J].中国科学（A辑）,1994,24(3):247-255. 被引量：4
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共引文献26

同被引文献18

  • 1刘开宇,庾建设,罗交晚.非自治线性时滞微分方程的扰动全局吸引性及一致稳定性[J].高校应用数学学报（A辑）,1998,13(3):257-266. 被引量：4
  • 2Gyfiri I. Interacdon between oscillations and global asymptotic stability in delay differential equations[ J]. Differential and In- tegral Equations, 1990 , 3 : 181 - 200.
  • 3Fu Chaojin,Liao Xiaoxin.The stability of delay differential equation[].Acta Mathematica.2003
  • 4Halanay A.Differential Equations Stability,Oscillations,Time Lags[]..1965
  • 5Liao Xiaoxin.Theory Methods and Application of Stability[]..1999
  • 6Si Ligeng,Hu Yongzhen.Differential Inequality with Delay and Differential Equation[]..2001
  • 7Zeng Zhigang,Fu Chaojin,Liao Xiaoxin.A delay differential inequality[].Annals of Differential Equations.2002
  • 8Zhang Lijuan,Zhong Jianlin.The stability of a class of differential large-scale system with infinite delay[].Journal of Guangxi University.2004
  • 9Han Tianyong~(1,2),Li Shuyong~1(1.Department of Mathematics,Sichuan Normal University,Chengdu 610068,Sichuan,China,2.School of Sciences,Southwest University of Science and Technology,Mianyang 621010,Sichuan,China).K-global Stability of a Class of Nonlinear System with Time-Delay[].Journal of SWUST.2005
  • 10Lipovan,O.:.A retarded Gronwall-like inequality and its applications[].Journal of Mathematical Analysis and Applications.2000

引证文献2

西南科技大学学报
2005年 第3期

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