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Stability of Nonautonomous Recurrent Neural Networks with Time-Varying Delays

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Book cover Advances in Neural Networks – ISNN 2005 (ISNN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3496))

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Abstract

The paper studies the nonautonomous delayed recurrent neural networks. By applying Lyapunov functional method and utilizing the technique of inequality analysis, we obtain the sufficient condition to ensure the globally asymptotic stability and globally exponential stability. The results given in this paper are new and useful.

This work was supported by the 973 Program of China under Grant 2003CB316904, the National Natural Science Foundation of China under Grants 60373067 and 10361004, the Natural Science Foundation of Jiangsu Province, China under Grants BK2003053 and BK2003001, and The Natural Science Foundation of Xinjiang University.

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Author information

Authors and Affiliations

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

    Haijun Jiang & Jinde Cao

  2. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, China

    Haijun Jiang & Zhidong Teng

Authors
  1. Haijun Jiang
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  2. Jinde Cao
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  3. Zhidong Teng
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Editor information

Editors and Affiliations

  1. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

    Jun Wang

  2. The Key Laboratory of Optoelectric Technology & Systems, Ministry of Education, China

    Xiaofeng Liao

  3. Computational Intelligence Laboratory, School of Computer Science and Engineering, University of Electronic Science and Technology of China, 610054, Chengdu, P.R. China

    Zhang Yi

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© 2005 Springer-Verlag Berlin Heidelberg

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Jiang, H., Cao, J., Teng, Z. (2005). Stability of Nonautonomous Recurrent Neural Networks with Time-Varying Delays. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_15

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  • DOI: https://doi.org/10.1007/11427391_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25912-1

  • Online ISBN: 978-3-540-32065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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