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Qualitative Analysis of General Discrete-Time Recurrent Neural Networks with Impulses

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Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5551))

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Abstract

In this article, the qualitative analysis of general discrete-time recurrent neural networks with impulses is discussed. First, a sufficient condition and a sufficient and necessary condition for existence and uniqueness of the equilibrium point of this neural networks are given with the help of degree theory; second, some sufficient rules for the global exponential stability of this neural networks are obtained by using Lyapunov function; finally the instability of the equilibrium is studied.

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Author information

Authors and Affiliations

  1. Information School, Zhongnan University of Economics & Law, Wuhan, 430074, China

    Xinquan Zhao

Authors
  1. Xinquan Zhao
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Editor information

Editors and Affiliations

  1. Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, 07360, México D.F., México

    Wen Yu

  2. Deptartment of Electrical and Computer Engineering, Stevens Institute of Technology, NJ 07030, Hoboken, USA

    Haibo He

  3. Dept. of Electrical and Computer Engineering, South Dakota School of Mines & Technology, 501 E. St. Joseph Street, Rapid City, SD 57701, USA

    Nian Zhang

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© 2009 Springer-Verlag Berlin Heidelberg

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Zhao, X. (2009). Qualitative Analysis of General Discrete-Time Recurrent Neural Networks with Impulses. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01507-6_16

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  • DOI: https://doi.org/10.1007/978-3-642-01507-6_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01506-9

  • Online ISBN: 978-3-642-01507-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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