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反应扩散变时滞细胞神经网络的稳定性 被引量:1

Stability of Reaction-Diffusion Cellular Neural Networks with Time-Varying Delays
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摘要 利用构造Lyapunov函数的方法讨论了带反应扩散项的变时滞细胞神经网络全局指数稳定性.在输出响应函数有界且满足Lipschitz条件和系统满足文章所给的条件下,得到了判定该类网络解的全局指数稳定性. In this paper, global exponential stability is investigated for cellular neural networks with reaction-diffusion and time-varying delays by the use of Lyapunov-function. Assume that each output function is bounded on R and satisfies the Lipschitz condition and some conditions given by this paper, then the new result is obtained for the global exponential stability of the system.
作者 李奎 吴清太
出处 《河南科学》 2008年第7期761-764,共4页 Henan Science
关键词 反应扩散 变时滞 细胞神经网络 全局指数稳定性 reaction-diffusion time-varying delays cellular neural networks global exponential stability
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  • 1Cao J.Periodic solutions and exponential stability in delayed cellular neural networks. Physical Review E,1999,60(3):3244-3248.
  • 2Zhang Y. Global exponential stability and periodic solutions of delay Hopfield neural.
  • 3P.Y.Zhu,S.X.Sun.A periodic solution of delayed cellular neural networks,Neural Networks World, 2005,1:69-76.
  • 4曹进德.时延细胞神经网络的指数稳定性和周期解[J].中国科学(E辑),2000,30(6):541-549. 被引量:30

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