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Piecewise Pseudo Almost-Periodic Solutions of Impulsive Fuzzy Cellular Neural Networks with Mixed Delays

  • Chaouki AouitiEmail author
  • Imen Ben Gharbia
Article
  • 24 Downloads

Abstract

This article examines the existence of the unique piecewise pseudo almost periodic for impulsive fuzzy cellular neural networks by using the contraction mapping principle and piecewise pseudo almost periodic function theory. Further, sufficient certain conditions for their global exponential stability are produced through the use of differential inequality and generalized Gronwall–Bellman inequality. Our results are new and complement some previously known ones. Two examples and their numerical simulations are performed to ensure our theoretical results.

Keywords

Impulses Fuzzy cellular neural networks Piecewise pseudo almost-periodic function Generalized Gronwall–Bellman inequality 

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.Research Units of Mathematics and Applications UR13ES47, Department of Mathematics, Faculty of Sciences of BizertaUniversity of CarthageZarzouna, BizertaTunisia

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