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Neural Processing Letters

, Volume 50, Issue 3, pp 2407–2436 | Cite as

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

  • Chaouki AouitiEmail author
  • El Abed Assali
  • Youssef El Foutayeni
Article

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.

Keywords

Inertial Cohen–Grossberg-type Neural networks Finite-time synchronization Fixed-time synchronization Time-varying delays 

Mathematics Subject Classification

34C27 37B25 92C20 

Notes

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.University of Carthage, Faculty of Sciences of Bizerta, Department of Mathematics, UR13ES47 Research Units of Mathematics and ApplicationsBizertaTunisia
  2. 2.Analysis, Modeling and Simulation LaboratoryHassan II University of CasablancaCasablancaMorocco

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