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Impulsive fractional-order neural networks with time-varying delays: almost periodic solutions

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Abstract

In this paper, we study the problems of existence and global asymptotic stability of almost periodic solutions for a cellular neural network of fractional order with time-varying delays and impulses. The impulses are realized at fixed moments of time and can be considered as a control. The main results are obtained by employing the fractional Lyapunov method and fractional comparison principle.

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Authors and Affiliations

  1. Department of Mathematics, The University of Texas at San Antonio, San Antonio, TX, USA

    Gani Stamov & Ivanka Stamova

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  1. Gani Stamov
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  2. Ivanka Stamova
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Correspondence to Gani Stamov.

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Stamov, G., Stamova, I. Impulsive fractional-order neural networks with time-varying delays: almost periodic solutions. Neural Comput & Applic 28, 3307–3316 (2017). https://doi.org/10.1007/s00521-016-2229-4

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  • DOI: https://doi.org/10.1007/s00521-016-2229-4

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