期刊文献+

脉冲随机微分系统的均方指数稳定性分析 被引量:1

Mean Square Exponential Stability Analysis of Pulse Randomly Differential Systems
下载PDF
导出
摘要 研究了脉冲随机时滞微分泛函方程的均方指数稳定性问题。利用Lyapunov-Razumikhin型方法及随机分析的一些技巧,建立了一类脉冲随机泛函微分方程的均方指数稳定性定理。 In this paper, the mean square exponential stability analysis of impulsive stochastic functional differential systems with delays was concerned. On the basis of the Lyapunov-Razumikhin method and stochastic 'analysis techniques, some general criteria were established for mean square exponential stability.
出处 《海军航空工程学院学报》 2014年第3期296-300,共5页 Journal of Naval Aeronautical and Astronautical University
关键词 脉冲随机微分方程 均方指数稳定 LYAPUNOV-KRASOVSKII函数 pulse randomly differential equation mean square exponential stability LYapunov-Krasovskii function
  • 相关文献

参考文献14

  • 1GOPALSAMY K, ZHANG'B. On delay differential equa- tions with impulses[J]. Journal of Mathematical Analysis and Applications, 1989, 139: 100-122.
  • 2STAMOVA I, STAMOV G. Lyapunov-Razumikhin meth- od for impulsive functional equations and applications to the population dynamic[J]. Journal of Computational and Applied Mathematics, 2001,130: 163-171.
  • 3NAGHSHTABRIZI P, HESPANHA J. Exponential stabili- ty of impulsive systems with application to uncertain sam- pied-date systems[J]. Systems and Control Letters, 2008, 57: 378-385.
  • 4YANG S J, SHI B, LI M. Mean square stability of impul- sive stochastic differential systems[J/OL]. International Journal of Differential Equations. Doi: 10.1155/2211/ 613695. 2011.
  • 5YANG J, ZHONG S M. Mean square stability analysis of impulsive stochastic differential equations with delay[J]. Journal of Computational and Applied mathematics, 2008,216: 474-483.
  • 6LIU X, BALLINGER G. Uniform asymptotic stability of impulsive delay differential equations[J]. Computers and Mathematics with Applications, 2011,41 : 903-915.
  • 7WANG Q, LIU X. Impulsive stabilization of delay differ- ential systems via the Lyaptinov-Razumikhin method[J]. Applied Mathematics Letters, 2007,20: 839-845.
  • 8FU X L, LIU D. Razumikhin-type theorems on exponen- tial stability of impulsive infinite delay differential sys-tems[J]. Journal of Computational and Applied mathemat- ics, 2009,224: 1-10.
  • 9ZHU Q x, SONG B. Exponential stability of impulsive nonlinear stochastic differential equations with mixed de- lays[J]. Nonlinear Analysis: Real World Applications, 2011,12:2851-2860.
  • 10XU L G, HE D H. Mean square exponential stability analysis of impulsive stochastic switched systems with mixed delays[J]. Computers and Mathematics with Appli- cations, 2011,62: 109-117.

同被引文献5

引证文献1

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