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Exponential Synchronization of a Class of RNNs with Discrete and Distributed Delays

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Artificial Neural Networks and Machine Learning – ICANN 2013 (ICANN 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8131))

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Abstract

This paper studies the exponential synchronization of RNNs. The investigations are carried out by means of Lyapunov stability method and the Halanay inequality lemma. Finally, a numerical example with graphical illustrations is given to illuminate the presented synchronization scheme.

This work is supported in part by grants from General Direction of Scientific Research (DGRST), Tunisia, under the ARUB program.

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Author information

Authors and Affiliations

  1. ISSATS, Laboratory of Math Physics; Specials Functions and Applications, LR11ES35, Ecole Supérieure des Sciences et de Technologie, 4002, Sousse, Tunisia

    Farouk Chérif

  2. REGIM: REsearch Groups on Intelligent Machines, University of Sfax, National Engineering School of Sfax (ENIS), BP 1173, Sfax, 3038, Tunisia

    Hajer Brahmi, Boudour Ammar & Adel M. Alimi

Authors
  1. Farouk Chérif
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  2. Hajer Brahmi
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  3. Boudour Ammar
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  4. Adel M. Alimi
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Editor information

Editors and Affiliations

  1. Faculty Automation,, Technical University of Sofia, 8 St. Kl. Ohridski Blvd., 1000, Sofia, Bulgaria

    Valeri Mladenov

  2. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev str. bl.25A, 1113, Sofia, Bulgaria

    Petia Koprinkova-Hristova

  3. Institute of Neural Information Processing, University of Ulm, 89075, Ulm, Germany

    Günther Palm

  4. Quartier UNIL-Dorigny, Bâtiment Internef, Université de Lausanne, 1015, Lausanne, Switzerland

    Alessandro E. P. Villa

  5. Department of Computer Science, University of Milano, Via Comelico, 39, 20135, Milano, Italy

    Bruno Appollini

  6. Knowledge Engineering, School of Computing and Mathematical Sciences, Auckland University of Technology, 120 Mayoral Drive, 3rd floor, 1010, Auckland, New Zealand

    Nikola Kasabov

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Chérif, F., Brahmi, H., Ammar, B., Alimi, A.M. (2013). Exponential Synchronization of a Class of RNNs with Discrete and Distributed Delays. In: Mladenov, V., Koprinkova-Hristova, P., Palm, G., Villa, A.E.P., Appollini, B., Kasabov, N. (eds) Artificial Neural Networks and Machine Learning – ICANN 2013. ICANN 2013. Lecture Notes in Computer Science, vol 8131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40728-4_10

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  • DOI: https://doi.org/10.1007/978-3-642-40728-4_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40727-7

  • Online ISBN: 978-3-642-40728-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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