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具连续分布时滞细胞神经网络的指数稳定性 被引量:2

Exponential Stability of Cellular Neural Networks with Continuously Distributed Delays
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摘要 利用Cramer法则和Brouwer不动点定理,通过构造适当的Lyapunov泛函并结合矩阵形式的Halanay微分不等式分析技巧,研究了一类具有连续分布时滞的细胞神经网络模型的动力学性质,获得了该模型的平衡点的存在性和全局指数稳定性的充分条件.改进和推广了已有文献的结论.这些结果对设计全局指数稳定的细胞神经网络具有重要的指导意义. We have investigated the dynamical behaviors of cellular neural networks with continuously distributed delays. Based on Cramer rule, Brouwer's fixed point theorem and Halanay inequality, we have obtained some sufficient conditions to ensure the existence and the global exponential stability of equilibria. Some existing results have been improved and extended. These results can be applied to design globally exponentially stable cellular neural networks and therefore have important theoretical and practical significance.
出处 《湖南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2008年第1期89-92,共4页 Journal of Hunan University:Natural Sciences
基金 高等学校博士学科点专项科研基金资助项目(20060550013)
关键词 神经网络 稳定性 分布时滞 neural network stability distributed delays
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参考文献8

  • 1GILLI M, CIVALLER P P, PANDOLFI L. On stability of eellular neural networks with delay[J ]. IEEE Trans, 1993, 40(3) : 157- 164.
  • 2ZHANG Q, WEI X P, JINX. Stability analysis of cellular neural networks with variable delays[J ]. Chaos, Solitons and Fractals, 2006, 28:331 - 336.
  • 3ENSARI T, ARIK S. Global stability of a class of neural networks with time-varying delay[J ]. IEEE Trans Circuits Syst Ⅱ, 2005, 52(3) :126- 130.
  • 4CHEN A, CAO J, HUANG L. Global robust stability of interval cellular neural networks with time-varying delays[J ]. Chaos Solitons and Fractals, 2005, 24 : 197 - 206.
  • 5WANG Y, XIONG W, ZHOU Q,et al. Global exponential stability of eeUular neural networks with continuously distributed delays and inpulse[J ]. Phys Lett A, 2006, 350:89- 95.
  • 6GOPALSAMY K. Stability and oscillations in delay differential equations of population dynamics[M]. Dordrecht: Kluwer Academic Publishers, 1992.
  • 7CAO J, LIANG J. Boundedness and stability for Cohen-Grossberg neural networks with time-varying delays[J ]. J Math Anal, 2004, 296:665 - 685.
  • 8SUN J, WAN L. Global exponential stability and periodic solution of Cohen-Grossberg neural networks with continuously distributed delays[J ]. Physiea, 2005,208 : 1 - 20.

同被引文献17

  • 1陈安平,曹进德,黄立宏.时滞BAM神经网络周期解的存在性和全局指数稳定性[J].应用数学学报,2005,28(2):193-209. 被引量:7
  • 2马亚锋,王林山.S-分布时滞静态神经网络模型的不变集和吸引集[J].黑龙江大学自然科学学报,2006,23(4):506-508. 被引量:3
  • 3Rakkiyappan R, Balasubramaniam P. New global exponential stability results for neutral-type neural networks with distributed time delays[J]. Neurocomputing, 2008,71 (4-6) : 1039-1045.
  • 4Rakkiyappan R, Balasubramaniam P. LMI conditions for global asymptotic stability results for neutral-type neural networks with distributed time delays [J]. Applied Mathematics and Computation, 2008,204 (1): 317-324.
  • 5Zhang J, Suda Y, Iwasa T. Absolutely exponential stability of a class of neural networks with unbounded delay[J]. Neural Networks, 2004, 17: 391-397.
  • 6Cao J. Global asymptotic stability of neural networks with transmission delays[J]. Int J Syst Sci, 2000, 31: 1313-1316.
  • 7Liao X F, Chen G R, Sanchez E N, Delay-dependent exponential stability analysis of delayed neural networks an LMI approach [J]. Neural Networks, 2002, 15: 855-866.
  • 8Xu S, Lain J, Ho D W C, Zou Y. Delay-dependent exponential stability for a class of neural networks with time delays [J]. J Comput Math Appl, 2005, 183: 16-28.
  • 9Wang L S,Xu D Y.Global asymptotic stability of bidirectional associative memory neural networks with S-type distributed delays[J].International Journal of System Science,2002,33 (3):869-877.
  • 10Cao J D.Periodic solutions and exponential stability in delayed cellar neural networks[J].Physics Letter A,1999,60(6):3244-3248.

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