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Finite-Time and Fixed-Time Synchronization of Inertial Cohen–Grossberg-Type Neural Networks with Time Varying Delays

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Abstract

This paper is devoted to studying the finite-time and fixed-time of inertial Cohen–Grossberg type neural networks (ICGNNs) with time varying delays. First, by constructing a proper variable substitution, the original (ICGNNs) can be rewritten as first-order differential system. Second, by utilizing feedback controllers and constructing suitable Lyapunov functionals, several new sufficient conditions guaranteeing the finite-time and the fixed-time synchronization of ICGNNs with time varying delays are obtained based on different finite-time synchronization analysis techniques. The obtained sufficient conditions are simple and easy to verify. Numerical simulations are given to illustrate the effectiveness of the theoretical results.

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Authors and Affiliations

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

    Chaouki Aouiti & El Abed Assali

  2. Analysis, Modeling and Simulation Laboratory, Hassan II University of Casablanca, Casablanca, Morocco

    Youssef El Foutayeni

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  1. Chaouki Aouiti
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  2. El Abed Assali
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  3. Youssef El Foutayeni
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Correspondence to Chaouki Aouiti.

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Aouiti, C., Assali, E.A. & Foutayeni, Y.E. Finite-Time and Fixed-Time Synchronization of Inertial Cohen–Grossberg-Type Neural Networks with Time Varying Delays. Neural Process Lett 50, 2407–2436 (2019). https://doi.org/10.1007/s11063-019-10018-8

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