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对延迟细胞神经网络全局渐近稳定性一个结果的改进 被引量：2

An Improment for Global Asymptotic Stability Result for Delayde Cellular Neural Networks
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摘要 给出了延迟细胞神经网络全局渐近稳定性的一个新的充分条件,该条件改进并推广了已有文献中的结论. A new sufficient condition is obtained for the uniqueness and global asymptotic stability of the equilibrium point for delayed cellular neural networks（DCNNs） This condition is improved and generalizes some of the previous stability results derived in the literature.
作者 刘静
机构地区 滨州学院数学与信息科学系
出处 《大学数学》 2010年第4期26-29,共4页 College Mathematics
关键词 延迟细胞神经网络 全局渐近稳定性 改进 delayed cellular neural networks global asymptotic stability improved
分类号 O177.3 [理学—基础数学]
  • 相关文献

参考文献3

  • 1Roska T, Boros T, Thiran P. Detecting simple motion using cellular neural networks[C]//IEEE Int. Workshop Cellular Neural Networks Applications, 1990.. 127--138.
  • 2Zhang Q, Wei X, Xu J. Delay-dependent exponential stability of cellular neural networks with time-varying delays [J]. Chaos,Solitons & Fractals 2005,23(4):1363 - 1369.
  • 3Singh V. Global asymptotic stability of cellular neural networks with unequal delays: LMI approach[J]. Electron Lett , 2004,40(9):548--549.

同被引文献16

  • 1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
  • 2Chua L O,Yang L.Cellular neural networks:theory and applications[J].IEEE Transactions on Circuits and Systems,1988,35(10):1257-1290.
  • 3Grassi G.A new approach to design cellular neural networks for associative memories[J].EEE Transactions on Circuits and Systems-I,1998,44(9):835-838.
  • 4Zhang Y,Heng P A,Leung S K.Convergence analysis of cellular neural networks[J].IEEE Transactions on Circuits and Systems,2001,48(6):680-687.
  • 5Cao J.New results concerning exponential stability and periodic solutions of delayed cellular neural networks [J].Physics Letters A.2003,307(2-3):136-147.
  • 6Liao X,Wang J.Global dissipativity of continuous-time recurrent neural networks with time delay[J].Physical Review E,2003,68(l):06118.1-7.
  • 7Zhou J,Liu Z,Chen G.Dynamics of periodic delayed neural networks[J].Neural Networks,2004,17(1): 87-101.
  • 8Arik S.On the global dissipativity of dynamical neural networks with time delays[J].Physics Letters A, 2004,326(4):126-132.
  • 9Yang Y Q,Cao J.Stability and periodicity in delayed cellular neural networks with impulsive effects[J]. Nonlinear Analysis:Real World Applications,2007,8(1):362-374.
  • 10Zhou L Q,Hu G D.Global exponential periodicity and stability of cellular neural networks with variable and distributed delays[J].Applied Mathematics and Computation,2008,195(2):402-411.

引证文献2

二级引证文献10

大学数学
2010年 第4期

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