On global exponential stability of discrete-time Hopfield neural networks with variable delays.
Zhang, Qiang, Wei, Xiaopeng, Xu, Jin (2007)
Discrete Dynamics in Nature and Society
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Zhang, Qiang, Wei, Xiaopeng, Xu, Jin (2007)
Discrete Dynamics in Nature and Society
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Liu, Xinzhi, Shen, Xuemin, Zhang, Yi (2001)
Mathematical Problems in Engineering
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Krzysztof Patan (2010)
International Journal of Applied Mathematics and Computer Science
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The paper deals with a specific kind of discrete-time recurrent neural network designed with dynamic neuron models. Dynamics are reproduced within each single neuron, hence the network considered is a locally recurrent globally feedforward. A crucial problem with neural networks of the dynamic type is stability as well as stabilization in learning problems. The paper formulates local stability conditions for the analysed class of neural networks using Lyapunov's first method. Moreover,...
Ahn, Choon Ki (2010)
Discrete Dynamics in Nature and Society
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Lin Jun Wang, You Xiang Xie, Zhou Chao Wei, Jian Peng (2015)
Kybernetika
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In this paper, we consider a three-unit delayed neural network system, investigate the linear stability, and obtain some sufficient conditions ensuring the absolute synchronization of the system by the Lyapunov function. Numerical simulations show that the theoretically predicted results are in excellent agreement with the numerically observed behavior.
Jalab, H.A., Ibrahim, R.W. (2009)
Surveys in Mathematics and its Applications
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Zhao, Kaihong, Li, Yongkun (2009)
Mathematical Problems in Engineering
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Zhu, Quanxin, Cao, Jinde (2009)
Discrete Dynamics in Nature and Society
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Huang, Chuangxia, Yang, Xinsong, He, Yigang, Huang, Lehua (2011)
Discrete Dynamics in Nature and Society
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Duan, Chengjun, Song, Qiankun (2010)
Discrete Dynamics in Nature and Society
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Chen, Chao, Huang, Zhenkun, Bin, Honghua, Liu, Xiaohui (2009)
Discrete Dynamics in Nature and Society
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Chen, Yonggang, Bi, Weiping, Wu, Yuanyuan (2008)
Discrete Dynamics in Nature and Society
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