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Global Exponential Stability for Discrete-Time BAM Neural Network with Variable Delay

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Book cover The Sixth International Symposium on Neural Networks (ISNN 2009)

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 56))

Abstract

In this paper, the existence and the global exponential stability of the equilibrium point for a class of discrete-time BAM neural network with variable delay are investigated via Lyapunov stability theory and some analysis techniques such as using an important inequality and using norm inequalities in matrix theory. Several delay-independent sufficient conditions for the existence and the global exponential stability of the equilibrium point are derived by constructing different Lyapunov functions for different cases. Finally, two illustrative examples are given to demonstrate the effectiveness of the obtained results.

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Author information

Authors and Affiliations

  1. School of Water Resources and Hydropower, Wuhan University, Wuhan, 430072, China

    Xiaochun Lu

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  1. Xiaochun Lu
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Editors and Affiliations

  1. Department of Control Science and Engineering, Huazhong University of Science and Technology, No. 1037, Luoyu Road, 430074, Wuhan, Hubei, China

    Hongwei Wang , Yi Shen  & Zhigang Zeng ,  & 

  2. Texas A&M University at Qatar, PO Box 23874, Doha, Qatar,  

    Tingwen Huang

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© 2009 Springer-Verlag Berlin Heidelberg

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Lu, X. (2009). Global Exponential Stability for Discrete-Time BAM Neural Network with Variable Delay. In: Wang, H., Shen, Y., Huang, T., Zeng, Z. (eds) The Sixth International Symposium on Neural Networks (ISNN 2009). Advances in Intelligent and Soft Computing, vol 56. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01216-7_3

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  • DOI: https://doi.org/10.1007/978-3-642-01216-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01215-0

  • Online ISBN: 978-3-642-01216-7

  • eBook Packages: EngineeringEngineering (R0)

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