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Existence and global exponential stability of pseudo almost periodic solution for SICNNs with mixed delays

  • Computational mathematics
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Abstract

Shunting Inhibitory Artificial Neural Networks are biologically inspired networks in which the synaptic interactions are mediated via a nonlinear mechanism called shunting inhibition, which allows neurons to operate as adaptive nonlinear filters. This paper considers the problem of existence and exponential stability of the pseudo almost periodic solution for shunting inhibitory cellular neural networks with mixed delays. The Banach fixed point theorem and the variant of a certain integral inequality with explicit estimate are used to establish the results. The results of this paper are new and they complement previously known results.

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Authors and Affiliations

  1. Department of Mathematics, SCANN, Military Academy, Avenue du maréchal Tito, 4000, Sousse, Tunisia

    Farouk Chérif

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  1. Farouk Chérif
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Correspondence to Farouk Chérif.

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Chérif, F. Existence and global exponential stability of pseudo almost periodic solution for SICNNs with mixed delays. J. Appl. Math. Comput. 39, 235–251 (2012). https://doi.org/10.1007/s12190-011-0520-1

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  • DOI: https://doi.org/10.1007/s12190-011-0520-1

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