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Global Asymptotic Stability of Neural Networks with Time Delay

Global Asymptotic Stability of Neural Networks with Time Delay
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摘要 The global asymptotic stability problem of Cellular neural networks with delay is investigated.A new stability condition is presented based on Lyapunov-Krasovskii method,which is dependent on the size of delay.The result is given in the form of LMI,and the admitted upper bound of the delay can be obtained easily.The time delay dependent and independent results can be obtained,which include some results in the former literature.Finally,a numerical example is given to illustrate the effectiveness of the main results. The global asymptotic stability problem of Cellular neural networks with delay is investigated.A new stability condition is presented based on Lyapunov-Krasovskii method,which is dependent on the size of delay.The result is given in the form of LMI,and the admitted upper bound of the delay can be obtained easily.The time delay dependent and independent results can be obtained,which include some results in the former literature.Finally,a numerical example is given to illustrate the effectiveness of the main results.
作者 肖晓丹 张洁
机构地区 燕山大学
出处 《科技信息》 2008年第19期207-208,共2页 Science & Technology Information
关键词 时间延迟 神经网络 自动化系统 稳定性 Delayed cellular neural networks （DCNNs） LMI global stability
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置] TP18 [自动化与计算机技术—控制理论与控制工程]
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参考文献10

  • 1Changchun Hua,Chengnian Long,and Xinping Guan.New results on stabilityanalysis of neural networks with time-varying delays[].Physics Letters A.2006
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  • 7Vimal Singh.A Generalized LMI-Based approach to the global asymptotic stability of cellular neural networks[].IEEE Transaction on Neural Networks.2004
  • 8Dongming Zhou,Liming Zhang,and Dongfeng Zhao.Global exponential stability for recurrent neural networks with a general class of activation functions and variable delays[].IEEE Int Conf Neural Networks & Signal Processing.2003
  • 9Sabri Arik.Global asymptotic stability of a larger class of delayed neural networks[].IEEE Circuits and Systems.2003
  • 10Xiaofeng Liao,Juebang Yu,and Guanrong Chen.Delay-dependent exponential stability analysis of delayedcellular neural networks[].IEEE CommunicationsCircuits and Systems and West Sino Expositions.2002
科技信息
2008年 第19期

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