期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

带有延迟脉冲量的脉冲随机微分方程的稳定性（英文） 被引量：1

Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses Volume
下载PDF
导出
摘要 本文研究带有限延迟脉冲随机泛函微分方程的p阶矩稳定性和p阶矩渐近稳定性的问题.利用Razumikhin技巧和Lyapunov函数的方法,获得方程p阶矩稳定性和p阶矩渐近稳定性的结果. This paper is concerned with pth moment stability and pth moment asymptotic stability of impulsive stochastic functional differential finite delay. Based on the Razumikhin techniques and Lyapunov functions, several criteria on pth moment stability and pth moment asymptotic stability are established. One illustrative example is given to show the effectiveness of the results.
作者 丁健 王良龙
机构地区 安徽大学数学科学学院
出处 《应用数学》 CSCD 北大核心 2015年第3期507-516,共10页 Mathematica Applicata
基金 Supported by the Anhui Provincial Nature Science Foundation(1308085MA01,1508085QA01) the Research Fund for Doctor Station of Ministry of Education of China(20113401110001) the Provincial Natural Science Research Project of Anhui Colleges(KJ2014A010)
关键词 脉冲随机泛函微分方程 稳定性 RAZUMIKHIN技巧 LYAPUNOV函数 Impulsive stochastic functional differential equation Stability Razumikhin technique Lyapunov function
分类号 O231.3 [理学—运筹学与控制论]
  • 相关文献

参考文献17

  • 1Bastinec J, Diblik J, Khusainov D Ya, Ryvolov: A. Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients[J] .Boundary Value Problems, 2010, 2010, Article ID 956121, 20 pages. 被引量：1
  • 2Shatyrko A V, Khusainov D Ya, Dibl J,Batinec J,Ryvolov A. Estimates of perturbations of nonlinear indirect interval control system of neutral type[J]. Journal of Automation and Information Sciences, 2011, 43(1): 13-28. 被引量：1
  • 3Dibl J, Khusainov D. Ya, Grytsay I V, Smarda Z.Stability of nonlinear autonomous quadratic discrete systems in the critical case[J]. Discrete Dynamics in Nature and Society, 2010, 2010, Article ID 539087, 23 pages. 被引量：1
  • 4YU Z. Almost surely asymptotic stability of exact and numerical solutions for neutral stochastic pantograph equations[J].Abstract and Applied Analysis, 2011, 2011, Article ID 143079, 14 pages. 被引量：1
  • 5Dzhalladova I A, Batinec J, Diblfk J, Khusainov D Ya.Estimates of exponential stability for solutions of stochastic control systems with delay[J]. Abstract and Applied Analysis, 2011, 2011, Article ID 920412, 14 pages. 被引量：1
  • 6Jankovid J, Randjelovi J, Jovanovi M. Razumikhin-type exponential stability criteria of neutral stochastic functional differential equations[J]. Journal of Mathematical Analysis and Applications, 2009, 355(2): 811-820. 被引量：1
  • 7MAO X R. Stochastic Differential Equations and Applications[M].England:Horwood, 1997. 被引量：1
  • 8Lakshmikantham , Bainov D D, Simeonov P S. Theory of Impulsive Differential Equation- s[M].Singapore:World Scientific, 1989. 被引量：1
  • 9ZHANC Y, SUN J T. Stability of impulsive functional differential equations[J]. Nonlinear Analysis, 2008, 68(12): 3665-3678. 被引量：1
  • 10LIU A, HU L. Existence results for impulsive neural stochastic functional integro-differential inclusions with nonlocal initial conditions[J]. Computers and Mathematics with Applications, 2010, 59(1): 64- 73. 被引量：1

二级参考文献28

  • 1XU Wei,NIU YuJun,RONG HaiWu,SUN ZhongKui.p-moment stability of stochastic impulsive differential equations and its application in impulsive control[J].Science China(Technological Sciences),2009,52(3):782-786. 被引量：7
  • 2Hale,J.K.(1977).Functional Differential Equations.Springer-Verlag,New York. 被引量：1
  • 3Huang,L.,Mao,X.& Deng,F.(2008).Stability of hybrid stochastic retarded systems.IEEE Transactions on Circuits and Systems-Ⅰ:Regular Papers,50(11):3413-3420. 被引量：1
  • 4Lakshmikantham,V.,Bainov,D.D.& Simeonov,P.S.(1989).Theory of Impulsive Differential Equations.World Scientific,Singapore. 被引量：1
  • 5Lakshmikantham,V.& Liu,X.(1989).Stability criteria for impulsive differential equations in terms of two measures.Journal of Mathematical Analysis and Applications,137:591-604. 被引量：1
  • 6Liu,B.(2008).Stability of solutions for stochastic impulsive systems via comparisonapproach.IEEE Transactions on Automatic Control,53(9):2128-2133. 被引量：1
  • 7Liu,X.& Ballinger,G.(2001).Uniform asymptotic stability of impulsive delay differential equations.Computers and Mathematics with Applications,41:903-915. 被引量：1
  • 8Liu,K.& Yang,G.(2009).The improvement of Razumikhin type theorems for impulsive functional differential equations.Nonlinear Analysis,70:3104-3109. 被引量：1
  • 9Luo,Z.& Shen,J.(2002).New Razumikhin type theorems for impulsive functional differential equations.Applied Mathematics and Computation,125:375-386. 被引量：1
  • 10Luo,Z.& Shen,J.(2006).Global existence results for impulsive functional differential equations.Journal of Mathematical Analysis and Applications,323:644-653. 被引量：1

共引文献8

同被引文献1

引证文献1

应用数学
2015年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部