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一类变系数混合时滞细胞神经网络周期解的存在性和全局指数稳定性 被引量：1

Global Exponential Stability of Periodic Solution of a Class of Cell Neural Networks with Variable Coefficients and Mixed Time-Varying Delays
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摘要 应用Mawhin连续性定理和不等式方法,给出了一类变系数混合时滞细胞神经网络周期解存在和指数稳定的充分条件。该结论对神经网络的设计具有重要的参考价值。 By applying Mawhin s continuation theorem and inequality techniques,sufficient conditions were established to guarantee a class of cell neural networks with variable coefficients and mixed time delays has a global exponentially stable periodic solution.The results are valuable in the design of neural networks.
作者 田安峰 盖明久 时宝 黄诘
机构地区 海军航空工程学院系统科学与数学研究所 海军航空工程学院青岛分院
出处 《海军航空工程学院学报》 2009年第6期711-715,共5页 Journal of Naval Aeronautical and Astronautical University
关键词 周期解 细胞神经网络 存在性 指数稳定性 periodic solutions cell neural networks existence exponential stability
分类号 O175.13 [理学—数学] O193 [理学—基础数学]
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参考文献10

  • 1MINGJIA TAN, YONG TAN. Global exponential stability of periodic solution of neural network with variable coefficients and time-varying delays[J]. Applied Mathematical Modeling, 2009,33:373-385. 被引量：1
  • 2CHUANGXIA HUANG, LIHONG HUANG, ZHAOHUI YUAN. Global stability analysis of a class of delayed cellular neural networks[J]. Mathematics and Computers in Simulation, 2005,70:133-148. 被引量：1
  • 3QIANKUN SONG Novel criteria for global exponential periodicity and stability of recurrent neural networks with time-varying delays[J]. Chaos, Solutions and Fractals, 2008,36:720-728. 被引量：1
  • 4LIQUN ZHOU, GUANGDA HU. Global exponential periodicity and stability of cellular neural networks with variable and distributed delays[J]. Applied Mathematics and Computation, 2008,195:402-411. 被引量：1
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同被引文献7

  • 1Zhou L Q, Hu G D. Global exponential periodicity and sta- bility of cellular neural with networks variable and distributed delays [J].Appl. Math. Comput, 2008,195: 402-411. 被引量：1
  • 2Yang H F, Chu T G. LMI conditions for stability of n~ural networks with distributed delays[J].Chao, Solition and Frac-tals, 2007,34 : 557-563. 被引量：1
  • 3Long S J, Xu D Y. Delay-dependent stability analysis for im- pulsive neural networks with time varying delays[J].Neuro- computing, 2008,71 : 1705-1713. 被引量：1
  • 4Zhang Z, Xu D. Impulsive effects on stability of Co- hen-Grossberg neural networks with variable delays[J].Appl Math Comput, 2006,177 : 63-78. 被引量：1
  • 5Li X.Global exponential stability of Cohen-Grossberg-type BAM neural networks with time-varying delays via impul- sive control[J].Neurocomputing, 2009,73 : 525-530. 被引量：1
  • 6Li X, Song S. Impulsive control for existence, uniqueness and global stability of periodic Solutions of recurrent neural net- works with discrete and continuously distributed delays[J]. IEEE Trans Neural Netw, 2013,24 : 868-877. 被引量：1
  • 7Chen W H, Zheng W X. Global exponential stability of impulsive neural networks with variable delay: LMI approach [J].IEEE Trans.Circuit Syst 1,2009,56(6) : 1248-1259. 被引量：1

引证文献1

海军航空工程学院学报
2009年 第6期

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