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非線性連續(xù)神經(jīng)網(wǎng)絡(luò)全局指數(shù)穩(wěn)定的定量特征

談?wù)?/a>,  王利生

談?wù)? 王利生. 非線性連續(xù)神經(jīng)網(wǎng)絡(luò)全局指數(shù)穩(wěn)定的定量特征[J]. 電子與信息學(xué)報(bào), 2001, 23(3): 300-303.
引用本文: 談?wù)? 王利生. 非線性連續(xù)神經(jīng)網(wǎng)絡(luò)全局指數(shù)穩(wěn)定的定量特征[J]. 電子與信息學(xué)報(bào), 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.

非線性連續(xù)神經(jīng)網(wǎng)絡(luò)全局指數(shù)穩(wěn)定的定量特征

The Quantitative Properties of Exponential Stability of Nonlinear Continuous Neural Network

  • 摘要: 引入一個(gè)特征函數(shù)用以定量刻畫最優(yōu)化計(jì)算神經(jīng)網(wǎng)絡(luò)的全局指數(shù)穩(wěn)定性。利用該特征函數(shù)得到了一族范數(shù)下神經(jīng)網(wǎng)絡(luò)全局指數(shù)穩(wěn)定的判定條件及下三角神經(jīng)網(wǎng)絡(luò)全局指數(shù)穩(wěn)定的充分必要條件。所得結(jié)果推廣了Bouzerdoum,Killy,Sugawara等人的結(jié)論。
    Abstract: In the paper, a characteristic function is introduced and used to characterize quan-titatively global exponential stability of nonlinear continuous neural network . Some sufficient conditions for the network to be exponentially stable under all monotone norms are presented, and the sufficient and necessary condition for lower-triangle neural network to be globally ex-ponentially stable is obtained also.
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  • 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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  • 文章訪問數(shù):  1982
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出版歷程
  • 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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