期刊文献+

时滞细胞神经网络概周期解的存在性与全局指数稳定性 被引量:4

Existence and Exponential Stability of Almost Periodic Solutions for Cellular Neural Networks with Delays
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摘要 通过利用Banach空间中的不动点定理和Lyapunov泛函的方法,获得了时滞细胞神经网络慨周期解的存在性与全局指数稳定性的新结论.所获结果在较大程度上改进和推广了已有文献中的相应结果. In this paper cellular neural networks with delays are considered. Sufficient conditions for the existence and exponential stability of the almost periodic solutions are established by using a fixed-point theorem and Lyapunov functional method. The results of this paper are new and they complement previously known results.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2007年第6期1082-1088,共7页 Acta Mathematica Scientia
基金 国家自然科学基金(10371034)资助
关键词 细胞神经网络 时滞 概周期解 指数稳定性. Cellular neural networks Delays Almost periodic solution Exponential stability.
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参考文献6

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同被引文献56

  • 1赵洪涌,王广兰.具有变时滞Hop field神经网络的概周期解存在性与全局吸引性[J].数学物理学报(A辑),2004,24(6):723-729. 被引量:11
  • 2周铁军.一类细胞神经网络概周期解的存在性与全局吸引性[J].生物数学学报,2005,20(4):429-436. 被引量:5
  • 3罗琦,邓飞其,包俊东.随机分布参数型Hopfield时滞神经网络的稳定性[J].数学物理学报(A辑),2006,26(6):968-977. 被引量:2
  • 4Marcus C, Westervelt R. Stability of analog neural network with delay. Phys Rev A, 1989, 39(1): 347-359.
  • 5Arik S. Stability analysis of delayed neural networks with time delay. IEEE Trans Circuits Syst, 2000, 47: 1089-1092.
  • 6Liao X, Chen G, Sanchez E. Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach. Neural Networks, 2002, 15:855-866.
  • 7Sun C, Zhang K, Fei S, Feng C. On exponential stability of delayed neural networks with a general class of activation functions. Physics letters A, 2002, 298:122-132.
  • 8Chu T, Wang Z, Wang L. Exponential convergence estimates for neural networks with multiple delays. IEEE Transactions on Circuits and Systems I, 2002, 49(12): 1829-1832.
  • 9Ensari T, Arik S. Global stability analysis of neural networks with multiple time varying delays. IEEE Trans Auto Control, 2005, 50(11): 1781-1784.
  • 10Liao X, Li C. An LMI approach to asymptotical stability of multi-delayed neural networks. Physica D, 2005, 200:139-155.

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