Stability of Hopfield neural networks with time delays and variable-time impulses

被引:0
作者
Chao Liu
Chuandong Li
Tingwen Huang
Chaojie Li
机构
[1] Chongqing University,College of Computer
[2] Texas A&M University at Qatar,undefined
来源
Neural Computing and Applications | 2013年 / 22卷
关键词
Hopfield neural network (HNN); Time delays; Variable-time impulse; Stability;
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学科分类号
摘要
The stability of Hopfield neural networks with fixed-time impulses has been intensively investigated in recent years. However, few existing publications addressed the stability of delayed neural networks with variable-time impulses. In this paper, we consider the case of variable-time impulses and attempt to establish the general stability criteria. It shows that the proposed results can also be applied to the case of fixed-time impulses, which provide a new stability condition for the case of fixed-time impulses. To illustrate the effectiveness of our theoretical results, numerical examples and simulations are also presented.
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页码:195 / 202
页数:7
相关论文
共 45 条
  • [1] Akca H(2004)Continuous-time additive Hopfield-type neural network with impulses J Math Anal Appl 290 436-451
  • [2] Alassar R(2001)Global exponential stability of delayed Hopfield neural networks Neural Netw 14 977-980
  • [3] Covachev V(2000)General comparison principle for impulsive variable time differential equations with application Nonlinear Anal 42 1421-1429
  • [4] Covacheva Z(1994)Stability in asymmetric Hopfield nets with transmission delays Physica D 76 344-358
  • [5] Al-Zahrani E(1999)On delayed impulsive Hopfield neural networks Neural Netw 12 273-280
  • [6] Chen T(2000)On equilibria, stability, and instability of Hopfield neural networks IEEE Trans Neural Netw 11 534-540
  • [7] Fu XL(1984)Neurons with graded response have collective computational properties like those of two-state neurons Proc Natl Acad Sci USA Biophys 81 3088-3092
  • [8] Qi JG(2008)Exponential stability of impulsive neural networks with time-varying delays Chaos Solitons Fractals 35 770-780
  • [9] Liu YS(1999)Stability analysis of Hopfield-type neural networks IEEE Trans Neural Netw 10 1366-1374
  • [10] Gopalsamy K(1997)Vector lyapunov functions in impulsive variable-time differential systems Nonlinear Anal Theory Methods Appl 30 2695-2698