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Global Exponential Stability of Reaction-Diffusion Delayed BAM Neural Networks with Dirichlet Boundary Conditions

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Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5551))

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Abstract

In this paper, the global exponential stability for a class of reaction-diffusion delayed bidirectional associate memory (BAM) neural networks with Dirichlet boundary conditions is addressed by using the method of variation parameter and inequality technique, the delay-independent sufficient conditions to guarantee the uniqueness and global exponential stability of the equilibrium point of such networks are established. Finally, an example is given to show the effectiveness of the obtained result.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Hubei Normal University, Huangshi, 435002, China

    Chaojin Fu & Ailong Wu

Authors
  1. Chaojin Fu
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  2. Ailong Wu
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Editor information

Editors and Affiliations

  1. Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, 07360, México D.F., México

    Wen Yu

  2. Deptartment of Electrical and Computer Engineering, Stevens Institute of Technology, NJ 07030, Hoboken, USA

    Haibo He

  3. Dept. of Electrical and Computer Engineering, South Dakota School of Mines & Technology, 501 E. St. Joseph Street, Rapid City, SD 57701, USA

    Nian Zhang

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© 2009 Springer-Verlag Berlin Heidelberg

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Fu, C., Wu, A. (2009). Global Exponential Stability of Reaction-Diffusion Delayed BAM Neural Networks with Dirichlet Boundary Conditions. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01507-6_36

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  • DOI: https://doi.org/10.1007/978-3-642-01507-6_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01506-9

  • Online ISBN: 978-3-642-01507-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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