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International Symposium on Neural Networks

ISNN 2017: Advances in Neural Networks - ISNN 2017 pp 404–412Cite as

Exponential Stability of the Coupled Neural Networks with Different State Dimensions

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10261))

Abstract

In this paper, the exponential stability is studied for a class of coupled neural networks, in which the model has nodes of different dimensions, and has different internal time-delays and coupling delays. Based on Lyapunov stability theory and linear matrix inequality technique, some sufficient conditions are derived for ensuring the exponential stability of the equilibrium of system. Finally, a numerical example is given to show the effectiveness of our results.

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Acknowledgments

This work was partly supported by grants from the National Natural Science Foundation of China (No.61572233, No.11471083), and the Fundamental Research Funds for the Central Universities (No. 21612443).

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Authors and Affiliations

  1. College of Information Science and Technology, Jinan University, Guangzhou, 510632, China

    Jieyin Mai, Manchun Tan, Yunfeng Liu & Desheng Xu

Authors
  1. Jieyin Mai
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  2. Manchun Tan
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  3. Yunfeng Liu
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  4. Desheng Xu
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Corresponding author

Correspondence to Manchun Tan .

Editor information

Editors and Affiliations

  1. Dalian University of Technology, Dalian, China

    Fengyu Cong

  2. City University of Hong Kong, Kowloon Tong, Hong Kong

    Andrew Leung

  3. Chinese Academy of Sciences, Beijing, China

    Qinglai Wei

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Mai, J., Tan, M., Liu, Y., Xu, D. (2017). Exponential Stability of the Coupled Neural Networks with Different State Dimensions. In: Cong, F., Leung, A., Wei, Q. (eds) Advances in Neural Networks - ISNN 2017. ISNN 2017. Lecture Notes in Computer Science(), vol 10261. Springer, Cham. https://doi.org/10.1007/978-3-319-59072-1_48

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  • DOI: https://doi.org/10.1007/978-3-319-59072-1_48

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59071-4

  • Online ISBN: 978-3-319-59072-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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