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Finite-Time and Fixed-Time Synchronization of Inertial Neural Networks with Mixed Delays

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Abstract

This paper considers the drive-response synchronization in finite-time and fixed-time of inertial neural networks with time-varying and distributed delays (mixed delays). First, by constructing a proper variable substitution, the original inertial neural networks can be rewritten as a first-order differential system. Second, by constructing Lyapunov functions and using differential inequalities, some new and effective criteria are obtained for ensuring the finite-time synchronization. Finally, three numerical examples are also given at the end of this paper to show the effectiveness of the results.

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Authors and Affiliations

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

    Aouiti Chaouki & Assali El Abed

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  1. Aouiti Chaouki
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  2. Assali El Abed
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Correspondence to Aouiti Chaouki or Assali El Abed.

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This paper was recommended for publication by Editor SUN Jian.

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Chaouki, A., El Abed, A. Finite-Time and Fixed-Time Synchronization of Inertial Neural Networks with Mixed Delays. J Syst Sci Complex 34, 206–235 (2021). https://doi.org/10.1007/s11424-020-9029-8

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  • DOI: https://doi.org/10.1007/s11424-020-9029-8

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