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Nonlinear Dynamics and Stability of Neural Networks with Delay-Time
引用本文:L. C. Jiao,member,IEEE,and Zheng Bao,Senior member,IEEECenter for Neural Networks and Institute of Elec. Eng,Xidian University,Xian 710071,China. Nonlinear Dynamics and Stability of Neural Networks with Delay-Time[J]. 系统工程与电子技术(英文版), 1992, 0(2)
作者姓名:L. C. Jiao  member  IEEE  and Zheng Bao  Senior member  IEEECenter for Neural Networks and Institute of Elec. Eng  Xidian University  Xian 710071  China
作者单位:L. C. Jiao,member,IEEE,and Zheng Bao,Senior member,IEEECenter for Neural Networks and Institute of Elec. Eng,Xidian University,Xian 710071,China
摘    要:In this paper we study the dynamic properties and stabilities of neural networks with delay-time (which includes the time-varying case) by differential inequalities and Lyapunov function approaches. The criteria of connective stability, robust stability, Lyapunov stability, asymptotic atability, exponential stability and Lagrange stability of neural networks with delay-time are established, and the results obtained are very useful for the design, implementation and application of adaptive learning neural networks.


Nonlinear Dynamics and Stability of Neural Networks with Delay-Time
L. C. Jiao,member,IEEE,and Zheng Bao,Senior member,IEEECenter for Neural Networks and Institute of Elec. Eng,Xidian University,Xian ,China. Nonlinear Dynamics and Stability of Neural Networks with Delay-Time[J]. Journal of Systems Engineering and Electronics, 1992, 0(2)
Authors:L. C. Jiao  member  IEEE  and Zheng Bao  Senior member  IEEECenter for Neural Networks  Institute of Elec. Eng  Xidian University  Xian   China
Affiliation:L. C. Jiao,member,IEEE,and Zheng Bao,Senior member,IEEECenter for Neural Networks and Institute of Elec. Eng,Xidian University,Xian 710071,China
Abstract:In this paper we study the dynamic properties and stabilities of neural networks with delay-time (which includes the time-varying case) by differential inequalities and Lyapunov function approaches. The criteria of connective stability, robust stability, Lyapunov stability, asymptotic atability, exponential stability and Lagrange stability of neural networks with delay-time are established, and the results obtained are very useful for the design, implementation and application of adaptive learning neural networks.
Keywords:Nonlinear dynamics   Stability   Neural network.
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