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New Results on Impulsive Cohen–Grossberg Neural Networks

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Abstract

This paper is concerned with an impulsive Cohen–Grossberg neural networks with mixed delays. Under proper conditions, we studied the existence, the uniqueness and the global exponential stability of asymptotic almost automorphic solutions for the suggested system. Our method was mainly based on the Banach’s fixed point theorem, the generalized Gronwall–Bellman inequality and the Lyapunov functional method. Moreover, two examples are presented to demonstrate the effectiveness of the proposed findings.

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Authors and Affiliations

  1. Department of Mathematics, Research Units of Mathematics and Applications, Faculty of Sciences of Bizerta, UR13ES47, University of Carthage, 7021, Zarzouna, Bizerta, Tunisia

    Chaouki Aouiti & Farah Dridi

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  1. Chaouki Aouiti
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  2. Farah Dridi
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Correspondence to Chaouki Aouiti.

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Aouiti, C., Dridi, F. New Results on Impulsive Cohen–Grossberg Neural Networks. Neural Process Lett 49, 1459–1483 (2019). https://doi.org/10.1007/s11063-018-9880-y

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