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一类非自治Cohen-Grossberg神经网络模型的动力学行为研究

A DYNAMIC STUDY ON NON-AUTONOMOUS COHEN-GROSSBERG NEURAL NETWORK MODEL
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摘要 本文研究了一类具有变时滞的非自治Cohen-Grossberg神经网络在r-范数意义下解的一致有界性和全局指数稳定性.利用Young不等式,引入多参数方法,得到了一系列新的保证解的一致有界性和全局指数稳定性的判别准则. In this paper, we study a non-autonomous Cohen-Grossberg neural network with variable delay in r-norm of the uniform boundedness and global exponential stability. By using the Young Inequality, the parameters method is introduced to get the criterion on the solution to a series of new uniform boundness and global exponential stability.
作者 王雪萍 蒋海军
机构地区 乌鲁木齐职业大学基础教育部 新疆大学数学与系统科学学院
出处 《数学杂志》 CSCD 北大核心 2013年第3期501-510,共10页 Journal of Mathematics
关键词 COHEN-GROSSBERG神经网络 变时滞 一致有界 全局指数稳定 Cohen-Grossberg neural network variable delay the uniform bounded globalexponential stability
分类号 O175.13 [理学—基础数学]
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参考文献9

  • 1Hopfield J. Neurons with graded response have collective computational properties like those oftwo-stage neurons[M]. USA (Biophysics): Proceeding of National Academy of Science,1984, 81:3088-3092.
  • 2Jiang H, Cao J. BAM-type Cohen-Grossberg neural networks with time delays [J]. Math, and Com-puter Modelling, 2007.
  • 3Jiang H, cao J, Teng Z. Dynamics of Cohen-Grossberg neural networks with time-varying delays[J].Phys. Lett. A., 2006, (354): 414-422.
  • 4Lu W, Chen T. New conditions on global stability of Cohen-Grossberg neural networks[Jj. NeuralComput., 2003,(15): 1173-1189.
  • 5余越昕,李寿佛.延迟微分方程单支方法的非线性稳定性[J].数学杂志,2005,25(1):59-66. 被引量：1
  • 6Cao J, Li X. Stability in delayed Cohen-Grossbery neural networks: LMI optimization approach [J].Physica D., 2005, (212): 54-65.
  • 7Wu W, Cui B T, Huang M. Global asymptolic stability of delayed Cohen-Grossberg neural net-works[J]. Chaos, Solitons and Fractals, 2007, (34): 872-877.
  • 8Huang T W, Andrew Chan, Huang Y,Cao J D. Stability of Cohen-Grossbery neural network vianonsmooth analysis [J]. Neural Networks, 2007,(20): 810-818.
  • 9Wu W, Cui B T, Lou X Y. Some criteria for asymptotic stability of Cohen-Grossberg neural networkswith time-varying delays [J]. Neurocomputing, 2007, (70): 1085-1088.

二级参考文献11

  • 1V. K. Barwell. Special stability problems for functional differential equations[J]. BIT, 1975,15 : 130-135.
  • 2G. Dahlquist. G-stability is equivalent to A-stability[J]. BIT, 1978, 18: 384-401.
  • 3K. J. in't Hout. Stability analysis of Runge-Kutta methods for systems of delay differential equations[J]. IMA J. Numer. Anal. ,1997 ,17 :17-27.
  • 4C. M. Huang,S. F. Li, H. Y. Fu and G. N. Chen. Stability and error analysis of one-leg methods for nonlinear delay differential equations[J]. J. Comput. Appl. Math. , 1999,103 : 263-279.
  • 5Huang Chengming, Numerical analysis of nonlinear delay differential equations[M]. PH. D. Thesis,China Academy of Engineering Physics, 1999.
  • 6李寿佛.单支方法及线性多步法稳定性准则.湘潭大学学报(自然科学版),1987,9(4):21-21.
  • 7L. Torelli. Stability of numerical methods for delay differential equations[J]. J. Comput . Appl. Math. , 1989,25:15-26.
  • 8M. Zennaro. Contractivity of Runge-Kutta methods with respect to forcing term[J]. Appl. Numer. Math. , 1993,10:321-345.
  • 9匡蛟勋 鲁连华 等.非线性滞后微分方程数值方法的稳定性[J].上海师范大学学报,1993,3:1-8.
  • 10张诚坚,周叔子.中立型多滞量微分方程系统的理论解与数值解的渐近稳定性[J].中国科学（A辑）,1998,28(8):713-720. 被引量：7
数学杂志
2013年 第3期

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