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

具有分布时滞和无界时变时滞的随机神经网络的稳定性分析 被引量：3

The stability analysis of the stochastic neural networks with both the distributed and unbounded time-varying delays
在线阅读 下载PDF
导出
摘要 通过引入衰减因子,构造一个新的Lyapunov泛函,结合不等式技巧,利用随机分析理论研究同时具有无界时变时滞和有界分布时滞的随机神经网络的p阶矩指数稳定性和几乎必然指数稳定性。所得稳定性判据只涉及系统本身参数,易于在实践中验证,结论推广改进了相关文献的结果。实例说明方法的有效性。 By introducing an exponential decay factor, constructing a new Lyapunov functional and combining with inequality technique, the theory of stochastic analysis is utilized to study the p-th moment exponential stability and almost sure exponential stability for the stochastic neural networks with both distributed and unbounded time-varying delays. The obtained criteria are given in terms of the system parameters only, and are easy to be verified. The results generalized and improved the previous ones. A numerical example is given to illustrate the effectiveness of the approach.
作者 毛凯 张术东 时宝
机构地区 海军航空工程学院基础部
出处 《黑龙江大学自然科学学报》 CAS 北大核心 2013年第1期33-38,共6页 Journal of Natural Science of Heilongjiang University
基金 光电控制技术国防科技重点实验室资助项目(20120224006) 海军航空工程学院专业技术拔尖人才基金(名师工程)
关键词 分布时滞 无界时变时滞 随机神经网络 局部鞅 p阶矩指数稳定 几乎必然指数稳定 distributed delay unbounded time-varying delay stochastic neural networks local martingale p-thmoment exponential stability almost sure exponential stability
分类号 O175.13 [理学—基础数学]
  • 相关文献

参考文献24

  • 1JIANG Hai-jun, TENG Zhi-dong. Dynamics of neural networks with variable coefficients and time-varying delays[ J]. Neural networks, 2006, 19 (5) :676-683.
  • 2XU Sheng-yuan, LAM J. A new approach to exponential stability analysis of neural networks with time-varying delays [ J]. Neural networks, 2006, 19(1) :76-83.
  • 3SONG Qian-kun. Exponential stability of recurrent neural networks with both time - varying delays and general activation functions via LMI ap- proach [ J]. Neurocomputing, 2008, 71 ( 13 - 15) :2823 - 2830.
  • 4SU Wei-wei, CHEN Yi-ming. Global robust exponential stability analysis for stochastic interval neural networks with time - varying delays [ J ]. Communications in Nonlinear Science and Numerical Simulation, 2009,14 (5) :2293 -2300.
  • 5ZHANG Bao-yong, XU Sheng-yuan, ZOU Yun. Improved delay-dependent exponential stability criteria for discrete-time recurrent neural networks with time-varying delays[ J]. Neurocomputing, 2008,71 ( 1 - 3 ) : 321 - 330.
  • 6ZHANG Hua-guang, WANG Gang. New criteria of global exponential stability for a class of generalized neural networks with time-varying delays [ J ]. Neurocomputing, 2007, 70 ( 13 - 15 ) :2486 - 2494.
  • 7SONG Chun-wei, GAO Hui-jun, ZHENG Wei-xing. A new approach to stability analysis of discrete-time recrrent neural networks with time-varying delay[J]. Neurocomputing, 2009, 72( 10-12) :2563-2568.
  • 8LIU Yu-rong, WANG Zi-dong, LIU Xiao-hui. Robust stability of discrete -time stochastic neural networks systems with time-varying delays[ J]. Neurocomputing, 2008, 71 (4 - 6 ) :823 - 833.
  • 9SONG Qian-kun, LIANG Jin-ling, WANG Zi-dong. Passivity analysis of discrete-time stochastic neural networks with time-varying delays [ J ]. Neurocomoutin. 2009, 72 (7 - 9 ) : 1782 - 1788.
  • 10YU Jian-jiang, ZHANG Kan-jiang, FEI Shu-ming. Exponential stability criteria for discrete-time recurrent neural networks with time-varying de- lays [ J ]. Nonlinear Analysis : Real World Applications, 2010, 11 ( 1 ) : 207 - 216.

同被引文献29

  • 1王占山,张化光,吕化.一类延迟神经网络的全局渐近稳定性[J].东北大学学报（自然科学版）,2006,27(2):123-126. 被引量：8
  • 2吴立刚,王常虹,曾庆双.区间时变细胞神经网络的全局鲁棒指数稳定性[J].控制理论与应用,2006,23(5):724-729. 被引量：3
  • 3赵丹丹,王林山.变时滞区间细胞神经网络的全局鲁棒稳定性[J].生物数学学报,2006,21(4):557-563. 被引量：5
  • 4张忠,李传东.具有时变时滞的递归神经网络的渐近稳定性分析[J].计算机研究与发展,2007,44(6):973-979. 被引量：1
  • 5Zhang Hua-guang, Wang Gang. New criteria of global exponential stability for a class of generalized neural networks with time-varying delays[J]. Neurocomputing, 2007, 70(13-15): 2486-2494.
  • 6Rakkiyappan R, Balasubramaniam P. Delay-dependent asymptotic stability for stochastic delayed recurrent neural networks with time varying delays[J]. Applied Mathematics and Computation, 2008, 198(2): 526-533.
  • 7Tian Jun-kang, Zhong Shou-ming. New delay-dependent exponential stability criteria for neural networks with discrete and distributed time-varying delays [J]. Neurocomputing, 2011, 74(17): 3365- 3375.
  • 8Kwon O M, Park J H. Exponential stability for uncertain cellular neural networks with discrete and distributed time-varying delays [J]. Applied Mathematics and Computation, 2008, 203(2): 818-823.
  • 9Shu Zhan, Lam J. Global exponential estimates of stochastic interval neural networks with discrete and distributed delays [J]. Neurocomputing, 2008, 71(13-15): 2950-2963.
  • 10Wang Zi-dong, Fang Jian-an, Liu Xiao-hui. Global stability of stochastic high-order neural networks with discrete and distributed delays[J]. Chaos Solitons Fractals, 2008, 36(2): 388-396.

引证文献3

黑龙江大学自然科学学报
2013年 第1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