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一类延迟神经网络的全局渐近稳定性 被引量：8

Globally Asymptotical Stability of a Class of Delayed Neural Networks
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摘要 针对一类能够由中立型变延迟非线性微分方程描述的神经网络模型,通过构造一个Lyapunov-Krasovskii泛函,给出了平衡点惟一性和全局渐近稳定的充分条件.所得到的稳定判据不依赖于时间延迟大小,不要求神经元激励函数的有界性、严格单调性和可微性,只与连接矩阵和延迟的导数项有关,且该稳定判据能够表示成线性矩阵不等式形式,易于求解验证. A new sufficient condition is given to provide the uniqueness and global asymptotical stability of the equilibrium point for a class of delayed neural network models of neutral type by constructing a Lyapunov-Krasovskii functional without assuming the boundedness, strict monotonicity and differentiability of neuron excitation function. This stability criterion imposes constraints on the interconnected matrices and derivative of time delays and is independent of the amplitude of time delays, which can be conveniently expressed in the form of linear matrix inequality （LMI） and easy to check.
作者 王占山 张化光 吕化
机构地区 东北大学信息科学与工程学院
出处 《东北大学学报（自然科学版）》 EI CAS CSCD 北大核心 2006年第2期123-126,共4页 Journal of Northeastern University(Natural Science)
基金 国家自然科学基金资助项目(60244017 60325311)
关键词 延迟神经网络 中立型 全局渐近稳定 线性矩阵不等式 时变延迟 delayed neural networks neutral type globally asymptotical stability linear matrix inequality （LMI） time varying delay
分类号 TP183 [自动化与计算机技术—控制理论与控制工程]
  • 相关文献

参考文献10

  • 1张化光 季策 王占山.递归人工神经网络的定性分析和综合[M].北京:科学出版社,2004.170-218.
  • 2季策,张化光.一类具有时滞的广义Hopfield神经网络的动态分析[J].东北大学学报（自然科学版）,2004,25(3):205-208. 被引量：8
  • 3Arik S.Global asymptotic stability of a larger class of neural networks with constant time delay[J].Physics Letters A,2003,311(4):504-511.
  • 4Lu H.On stability of nonlinear continuous-time neural networks with delays[J].Neural Networks,2000,13(10):1135-1143.
  • 5Cao J,Wang J.Global asymptotic stability of a general class of recurrent neural networks with time-varying delays[J].IEEE Transactions on Circuits and Systems-I,2003,50(1):34-44.
  • 6Huang H,Cao J.On global asymptotic stability of recurrent neural networks with time-varying delays[J].Applied Mathematics and Computation,2003,142(1):143-154.
  • 7Zhang H G,Wang Z S,Liu D R.Exponential stability analysis of neural networks with multiple time delays[J].Lectures Notes in Computer Science,2005,3496:142-148.
  • 8Zhang Q,Wei X,Xu J.Global exponential stability of Hopfield neural networks with continuously distributed delays[J].Physics Letters A,2003,315(3):431-436.
  • 9Bellen A,Guglielmi N,Ruehli A.Methods for linear systems of circuit delay differential equations of neutral type[J].IEEE Transactions on Circuits and Systems-Ⅰ,1999,46(1):212-216.
  • 10Xu B,Lam J.Decentralized stability of large scale interconnected time delay systems[J].Journal of Optimization Theory and Application,1999,103(1):231-240.

二级参考文献7

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共引文献12

同被引文献60

引证文献8

二级引证文献10

东北大学学报（自然科学版）
2006年 第2期

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