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基于LMI的一类中立型延迟神经网络的全局渐近稳定判据 被引量：2

Global Asymptotical Stability Criteria for a Class of Delayed Neural Network Model of Neutral Type Based on LMI
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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,给出了全局渐近稳定的不依赖于时间延迟的充分条件.所得到的稳定判据不仅考虑了神经元的激励和抑制对网络的影响,而且易于验证.仿真示例验证了所得结论的有效性. A sufficient condition guaranteeing the global asymptotical stability of the equilibrium point is derived for a class of neural network models with variable delay and neutral type delay. The stability criterion not only eliminates the differences between excitatory and inhibitory effects on the neural networks, but also can be conveniently checked. Numerical example shows the effectiveness of the obtained results.
作者 王占山 张化光
机构地区 东北大学教育部暨辽宁省流程工业综合自动化重点实验室
出处 《控制与决策》 EI CSCD 北大核心 2006年第5期527-531,535,共6页 Control and Decision
基金 国家自然科学基金项目(60244017 60325311) 辽宁省自然科学基金项目(20022030)
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 Global 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

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共引文献9

同被引文献25

  • 1佘秋野,陈丽换,张玉民,郭雷.基于LMI的中立型Hopfield神经网络的稳定性[J].东南大学学报（自然科学版）,2005,35(A02):162-164. 被引量：1
  • 2Kwon O M, Ju H Park, Lee S M. On Stability Criteria for Uncertain Delay-differential Systems of Neutral Type with Timevarying Delays[J]. Applied Mathematics and Computation, 2008, 197(2): 864-873.
  • 3Han Qing-long. A new Delay-dependent Absolute Stability Criterion for a Class of Nonlinear Neutral Systems[J ]. Autornatica, 2008, 44(1): 272-277.
  • 4Yan J un-juh,Hung Meei-ling, Liao Teh-lu. An EP Algorithm for Stability Analysis of Interval Neutral Delay-differential Systems[J]. Expert Systems with Applications, 2008, 34(2): 920-924.
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控制与决策
2006年 第5期

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