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Stability of Impulsive Cohen-Grossberg Neural Networks with Delays

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Advances in Neural Networks - ISNN 2010 (ISNN 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6063))

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Abstract

In this paper, with assuming global Lipschitz conditions on the activation functions, applying idea of vector Lyapunov function, Young inequality and Halanay differential inequality with delay, the global exponential stability of the equilibrium point for a class of Cohen-Grossberg neural networks with time-varying delays and impulses is investigated, the sufficient conditions for globally exponential stability of neural networks are obtained.

This work was supported by the National Natural Science Foundation of China under Grants 50775075 and the State Key Laboratory Foundation under Grants VSN-2008-01.

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References

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Author information

Authors and Affiliations

  1. Department of Computation Science, Zhongkai University of Agriculture and Engineering, Guangzhou, 510225, P.R. China

    Jianfu Yang & Fengjian Yang

  2. School of Machanical and Automative Engineering of South China University of Technology, Guangzhou, 510640, P.R. China

    Wensi Ding

  3. The 5th Middle School of Guangzhou City, Guangzhou, 510220

    Lishi Liang

  4. The Haizhu District Chigang Primary School of Guangzhou City, Guangzhou, 510310

    Qun Hong

Authors
  1. Jianfu Yang
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  2. Wensi Ding
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  3. Fengjian Yang
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  4. Lishi Liang
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  5. Qun Hong
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China

    Liqing Zhang

  2. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800, Dongchuan Road, 200240, Shanghai, China

    Bao-Liang Lu

  3. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water bay, Kowloon, Hong Kong, China

    James Kwok

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© 2010 Springer-Verlag Berlin Heidelberg

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Yang, J., Ding, W., Yang, F., Liang, L., Hong, Q. (2010). Stability of Impulsive Cohen-Grossberg Neural Networks with Delays. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13278-0_71

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  • DOI: https://doi.org/10.1007/978-3-642-13278-0_71

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13277-3

  • Online ISBN: 978-3-642-13278-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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