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International Symposium on Neural Networks

ISNN 2007: Advances in Neural Networks – ISNN 2007 pp 941–951Cite as

Periodic Solution of Cohen-Grossberg Neural Networks with Variable Coefficients

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

Abstract

In this paper, the periodic solution for a class of Cohen-Grossberg neural networks with variable coefficients is discussed. By using inequality analysis technique and matrix theory, some new sufficient conditions are obtained to ensure the existence, uniqueness, global attractivity and exponential stability of the periodic solution. An example is given to show the effectiveness of the obtained results.

This work was jointly supported by the National Natural Science Foundation of China under Grant No. 60574043, the National Science Foundation of Hunan Provincial Education Department (06C792), and the Foundation of Professor Project of Xiangnan University.

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Author information

Authors and Affiliations

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

    Hongjun Xiang & Jinde Cao

  2. Department of Mathematics, Xiangnan University, Chenzhou, 423000, China

    Hongjun Xiang

Authors
  1. Hongjun Xiang
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  2. Jinde Cao
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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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Xiang, H., Cao, J. (2007). Periodic Solution of Cohen-Grossberg Neural Networks with Variable Coefficients. 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_110

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  • DOI: https://doi.org/10.1007/978-3-540-72383-7_110

  • 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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