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Discrete-Time Counterparts of Impulsive Hopfield Neural Networks with Leakage Delays

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Differential and Difference Equations with Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 47))

Abstract

A discrete-time counterpart of a class of Hopfield neural networks with impulses and concentrated and infinite distributed delays as well as a small delay in the leakage terms is introduced. Sufficient conditions for the existence and global exponential stability of a unique equilibrium point of the discrete-time system considered are obtained.

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References

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Author information

Authors and Affiliations

  1. Department of Applied Sciences and Mathematics, Abu Dhabi University, 59911, Abu Dhabi, UAE

    Haydar Akça

  2. Department of Mathematics and Statistics, Sultan Qaboos University, 123, Muscat, Oman

    Valéry Covachev

  3. Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Valéry Covachev

  4. Middle East College, Muscat, Oman

    Zlatinka Covacheva

  5. Higher College of Telecommunications and Post, Sofia, Bulgaria

    Zlatinka Covacheva

Authors
  1. Haydar Akça
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  2. Valéry Covachev
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  3. Zlatinka Covacheva
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Corresponding author

Correspondence to Valéry Covachev .

Editor information

Editors and Affiliations

  1. Departamento de Ciências Exactas e Naturais, Academia Militar, Amadora, Portugal

    Sandra Pinelas

  2. University of Zürich Institute of Mathematics, Zürich, Switzerland

    Michel Chipot

  3. Masaryk University Dept. Mathematics, Brno, Czech Republic

    Zuzana Dosla

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Akça, H., Covachev, V., Covacheva, Z. (2013). Discrete-Time Counterparts of Impulsive Hopfield Neural Networks with Leakage Delays. In: Pinelas, S., Chipot, M., Dosla, Z. (eds) Differential and Difference Equations with Applications. Springer Proceedings in Mathematics & Statistics, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7333-6_28

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