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International Symposium on Neural Networks

ISNN 2007: Advances in Neural Networks – ISNN 2007 pp 1054–1060Cite as

Dynamics of Continuous-Time Neural Networks and Their Discrete-Time Analogues with Distributed Delays

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4491))

Abstract

Discrete-time analogues of continuous-time neural networks with continuously distributed delays and periodic inputs are introduced. The discrete-time analogues are considered to be numerical discretizations of the continuous-time networks and we study their dynamical characteristics. By employing Halanay-type inequality, we obtain easily verifiable sufficient conditions ensuring that every solutions of the discrete-time analogue converge exponentially to the unique periodic solutions. It is shown that the discrete-time analogues preserve the periodicity of the continuous-time networks.

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Author information

Authors and Affiliations

  1. Research Institute of Automation, Southeast University, Nanjing 210096, P.R. China

    Lingyao Wu & Lei Guo

  2. College of Electrical Engineering, Hohai University, Nanjing 210098, P.R. China

    Liang Ju

Authors
  1. Lingyao Wu
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  2. Liang Ju
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  3. Lei Guo
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering (M/C 154), University of Illinois at Chicago, 851 S. Morgan Street, 60607-7053, Chicago, IL, USA

    Derong Liu

  2. School of Automation, Southeast University, 210096, Nanjing, China

    Shumin Fei

  3. Laboratory of Complex Systems, Institute of Automation, Chinese Adacemy of Sciences, 100080, Beijing, P. R. China

    Zeng-Guang Hou

  4. School of Information Science and Engineering, Northeast University, Shenyang, 110004, China

    Huaguang Zhang

  5. School of Electrical Engineering, Hohai University, Nanjing, 210098, China

    Changyin Sun

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© 2007 Springer-Verlag Berlin Heidelberg

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Cite this paper

Wu, L., Ju, L., Guo, L. (2007). Dynamics of Continuous-Time Neural Networks and Their Discrete-Time Analogues with Distributed Delays. In: Liu, D., Fei, S., Hou, ZG., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4491. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72383-7_123

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  • DOI: https://doi.org/10.1007/978-3-540-72383-7_123

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72382-0

  • Online ISBN: 978-3-540-72383-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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