山东大学学报(理学版) ›› 2014, Vol. 49 ›› Issue (12): 60-65.doi: 10.6040/j.issn.1671-9352.0.2014.181
甄艳, 王林山
ZHEN Yan, WANG Lin-shan
摘要: 利用Lyapunov泛函方法和随机分析技巧,研究了S-分布时滞随机广义细胞神经网络的全局均方指数稳定性。给出了稳定性判据。仿真实验验证了结论的正确性。
中图分类号:
[1] ESPEJO S, CARMONA R, CASTRO R D, et al. A VLSI-oriented continuous time CNN model[J]. International Journal of Circuit Theory and Applications, 1996, 24:341-356. [2] CHUA L O,YANG L. Cellular neural networks:theory[J].IEEE Transactions on Circuits Systems, 1988, 35(10):1257-1272. [3] KWON O, LEE S, PARK J H. Improved delay-dependent exponential stability for uncertain stochastic competitive neural networks with time-varying delays[J]. Physics Letters A, 2008, 374:219-233. [4] CHEN Haibo, DOUGHERTY M S, KIRBY H R. The effects of detector spacing on traffic forecasting performance using neural networks[J]. Computer Aided Civil and Infrastructure Engineering, 2001, 16(6):422-430. [5] WAN Anhua, PENG Jigen, WANG Miansen. Exponential stability of a class of generalized neural networks with time-varying delays[J].Neural Computing, 2006, 69:959-963. [6] ZHANG Zhengqiu, LIU Wenbin, ZHOU Dongming. Global asymptotic stability to a generalized Cohen-Grossberg BAM neural networks of neutral type delays[J].Neural Networks, 2012, 25:94-105. [7] 王林山. 时滞递归神经网络[M].北京:中国科学出版社,2008. WANG Linshan. Recurrent neural networks with delays[M].Beijing: Chinese Science Press, 2008. [8] HWANG Chi-Chuan,CHENG Chao-Jung, LIAO The-Lu. Globally exponential stability of generalized Cohen-Grossberg neural networks with delays[J].Physics Letters, 2003, 319:157-166. [9] FENG Zhiguang, LAM James.Stability and dissipativity analysis of distributed delay cellular neural networks[J].IEEE Transactions on Neural Networks, 2011, 22(6):976-981. [10] WANG Linshan, XU Daoyi. Global asymptotic stability of bidirectional associative memory neural networks with S-type distributed delays[J].International Journal of System Science, 2002, 33:495-501. [11] WALLIS G. Stability criteria for unsupervised temporal association networks[J]. IEEE Transactions on Neural Networks, 2005, 16:301-311. [12] ZHANG Weiwei,WANG Linshan. Robust stochastic stability analysis for uncertain neutral-type delays neural networks driven by Wiener process [J].Journal of Applied Mathematics, 2012, 2012:829-594. [13] 沈轶,廖晓昕. 广义的时滞细胞神经网络的动态分析[J].电子学报,1999,27(1):62-64. SHEN Yi, LIAO Xiaoxin. Dynamic analysis for generalized cellular neural networks with delay [J]. Acta Electronica Sinica, 1999, 27(1):62-64. [14] LU Junxiang, MA Yichen. Mean square exponential stability and periodic solutions of stochastic delay cellular neural networks[J].Chaos Solutions and Fractals, 2008, 38:1323-1331. [15] MAO Xuerong. Stochastic differential equation and applications[M]. Chichester:Horwood Publishing Limited, 1997. |
[1] | 王长弘,王林山. 基于忆阻器的S-分布时滞随机神经网络的均方指数稳定性[J]. 山东大学学报(理学版), 2016, 51(5): 130-135. |
[2] | 常青, 周立群*. 一类具时滞细胞神经网络的全局一致渐近稳定性[J]. J4, 2012, 47(8): 42-49. |
[3] | 张伟伟1,王林山2*. S-分布时滞随机区间细胞神经网络的全局指数鲁棒稳定性[J]. J4, 2012, 47(3): 87-92. |
[4] | 张若军,王林山 . S-分布时滞区间细胞神经网络的全局渐近鲁棒稳定性[J]. J4, 2007, 42(2): 39-42 . |
[5] | 朱庆峰,石玉峰 . 局部Lipschitz条件下的正倒向重随机微分方程[J]. J4, 2007, 42(12): 58-62 . |
|