Global Exponential Stability of a General Class of Recurrent Neural Networks with Variable Delays

被引：0
|
作者：
Guo Z. [1 ]
Huang L. [1 ]
机构：
[1] College of Mathematics and Econometrics, Hunan University
来源：
Differential Equations and Dynamical Systems | 2011年 / 19卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Global exponential stability; Lyapunov functional; Neural networks; Topological degree;
D O I：
10.1007/s12591-011-0082-6
中图分类号：
学科分类号：
摘要：
Without assuming boundedness, differentiability, and monotonicity of the activation functions, new conditions ensuring the existence, uniqueness, and global exponential stability of the equilibrium point of a class of recurrent neural networks with variable delays are derived by utilizing the theory of topological degree and constructing appropriate Lyapunov functionals. Some stability results from previous works are extended and improved. © 2011 Foundation for Scientific Research and Technological Innovation.
引用
收藏
页码：133 / 148
页数：15
相关论文
共 50 条
  • [41] Global exponential stability of Cohen-Grossberg neural networks with variable delays
    ZHANG LijuanSHI BaoNaval Aeronautical Engineering InstituteNaval Aeronautical and Astronautical UniversityYantaiChina School of Mathematics and Information Science Yantai UniversityYantai China
    Applied Mathematics:A Journal of Chinese Universities(Series B), 2009, 24 (02) : 167 - 174
  • [42] Global exponential stability for discrete-time neural networks with variable delays
    Chen, Wu-Hua
    Lu, Xiaomei
    Liang, Dong-Ying
    PHYSICS LETTERS A, 2006, 358 (03) : 186 - 198
  • [43] Global exponential stability of Cohen-Grossberg neural networks with variable delays
    Zhang Li-juan
    Shi Bao
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2009, 24 (02) : 167 - 174
  • [44] GLOBAL EXPONENTIAL STABILITY OF HOPFIELD NEURAL NETWORKS WITH VARIABLE DELAYS AND IMPULSIVE EFFECTS
    杨志春
    徐道义
    AppliedMathematicsandMechanics(EnglishEdition), 2006, (11) : 1517 - 1522
  • [45] Global exponential periodicity and stability of cellular neural networks with variable and distributed delays
    Zhou, Liqun
    Hu, Guangda
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 195 (02) : 402 - 411
  • [46] Global exponential stability analysis for cellular neural networks with variable coefficients and delays
    Yonggui Kao
    Cunchen Gao
    Neural Computing and Applications, 2008, 17 : 291 - 295
  • [47] Global exponential stability of Hopfield neural networks with variable delays and impulsive effects
    Zhi-chun Yang
    Dao-yi Xu
    Applied Mathematics and Mechanics, 2006, 27 : 1517 - 1522
  • [48] Global exponential stability for a class of impulsive BAM neural networks with distributed delays
    Stamova, I. M.
    Stamov, G. Tr.
    Alzabut, J. O.
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2013, 7 (04): : 1539 - 1546
  • [49] Exponential Stability of Interval Neural Networks with Variable Delays
    Zhang, Jiye
    Ren, Dianbo
    Zhang, Weihua
    INTELLIGENT COMPUTING, PART I: INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTING, ICIC 2006, PART I, 2006, 4113 : 357 - 363
  • [50] EXPONENTIAL STABILITY ANALYSIS OF NEURAL NETWORKS WITH VARIABLE DELAYS
    Tan, Man-Chun
    Zhang, Yan
    Su, Wen-Li
    Zhang, Yu-Nong
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 20 (05): : 1541 - 1549
12345