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非线性连续神经网络全局指数稳定的定量特征

谈正 王利生

谈正, 王利生. 非线性连续神经网络全局指数稳定的定量特征[J]. 电子与信息学报, 2001, 23(3): 300-303.
引用本文: 谈正, 王利生. 非线性连续神经网络全局指数稳定的定量特征[J]. 电子与信息学报, 2001, 23(3): 300-303.
Tan Zheng, Wang Lisheng . The Quantitative Properties of Exponential Stability of Nonlinear Continuous Neural Network[J]. Journal of Electronics & Information Technology, 2001, 23(3): 300-303.
Citation: Tan Zheng, Wang Lisheng . The Quantitative Properties of Exponential Stability of Nonlinear Continuous Neural Network[J]. Journal of Electronics & Information Technology, 2001, 23(3): 300-303.

非线性连续神经网络全局指数稳定的定量特征

The Quantitative Properties of Exponential Stability of Nonlinear Continuous Neural Network

  • 摘要: 引入一个特征函数用以定量刻画最优化计算神经网络的全局指数稳定性。利用该特征函数得到了一族范数下神经网络全局指数稳定的判定条件及下三角神经网络全局指数稳定的充分必要条件。所得结果推广了Bouzerdoum,Killy,Sugawara等人的结论。
  • S.I. Subhrsanan, M. K. Sundareshan, Exponential stabiliy and a systematic synthesis of a neural network for quadratic minimization, Neural Network, 1991, 6(4), 599-613.[2]A. Bouzerdoum, T. R. Pattison, Neural network for quadratic optimization with bound constraints, IEEE Trans. on Neural Networks, 1993, 4(2), 293-303.[3]D.G. Killy, Stability in contractive nonlinear neural networks, IEEE Trans. on Biomedical Engineering, 1990, 37(4), 231-242.[4]K. Sugawara, M. Harao, On the stability of equilibrium states of analogue neural networks, Transactions of the Institute of Electronics and Communication Engineers of Japan , 1983, J-66-A, 258-265.[5]G. Soderlind, On nonlinear difference and differential equations, BIT, 1984, 24(4), 667-680.[6]F. Bauer, J. Stoer, C. Witzgall, Absolute and monotonic norms, Numer. Math, 1961, 3,257-264.[7]G. Avitabile, M. Forti, et al., On a class of nonsymmetrical neural networks with application to ADC, IEEE Trans. on CAS, 1991, 38(2), 202-208.[8]G. Seifert, On a converse result for perrons theorem for asymptotic stability for nonlinear differentiable equation, Proc. of Amer. math. Soc., 1987, 99(4), 733-736.
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出版历程
  • 收稿日期:  1998-11-25
  • 修回日期:  1999-12-09
  • 刊出日期:  2001-03-19

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