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International Symposium on Neural Networks

ISNN 2008: Advances in Neural Networks - ISNN 2008 pp 138–147Cite as

Global Exponential Stability and Periodicity of CNNs with Time-Varying Discrete and Distributed Delays

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5263))

Abstract

In this paper, based on the Lyapunov stability analysis for functional differential equations, the problems of global exponential stability and periodic solutions for a class of cellular neural networks with time-varying delays and distributed delays are investigated. By constructing a new suitable Lyapunov functional, some simple sufficient conditions ensuring existence, uniqueness, global exponential stability of the equilibrium point and periodic oscillation of the networks are obtained, which are easy to check and apply in practice. In addition, an example is also given to illustrate the effectiveness of the theory.

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Author information

Authors and Affiliations

  1. Institute of Nonlinear Complex Systems, China Three Gorges University, Yichang, Hubei, 443000, China

    Shengle Fang, Minghui Jiang & Wenfang Fu

Authors
  1. Shengle Fang
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  2. Minghui Jiang
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  3. Wenfang Fu
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Technology, Tsinghu University, 100084, Beijing, China

    Fuchun Sun

  2. Institute TAMS (Technical Aspects of Multimodal Systems), department of Informatics, University of Hamburg, Vogt-Koelln-Straße 30, 22527, Hamburg, Germany

    Jianwei Zhang

  3. Intel China Research Center, 8/F, Peking University, Department of Machine Intelligence, 100871, Beijing, China

    Ying Tan

  4. Department of Mathematics, Southeast University, 210096, Nanjing, China

    Jinde Cao

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

    Wen Yu

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© 2008 Springer-Verlag Berlin Heidelberg

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Cite this paper

Fang, S., Jiang, M., Fu, W. (2008). Global Exponential Stability and Periodicity of CNNs with Time-Varying Discrete and Distributed Delays. In: Sun, F., Zhang, J., Tan, Y., Cao, J., Yu, W. (eds) Advances in Neural Networks - ISNN 2008. ISNN 2008. Lecture Notes in Computer Science, vol 5263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87732-5_16

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  • DOI: https://doi.org/10.1007/978-3-540-87732-5_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87731-8

  • Online ISBN: 978-3-540-87732-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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