New results for a complex-valued cellular neural networks model on time scales

Document Type : Review articles


Moulay Ismail University, Faculty of Sciences, Department of Mathematics, MACS laboratory, Meknes, Morocco


In this study, we consider complex-valued cellular neural networks (CVCNNs) models on time scales. In contrast to earlier research, we employ a straightforward approach to arrive at our theoretical conclusion rather than breaking the model down into real-valued or complex-valued systems. Firstly, we use the Stepanov almost automorphy on time scales, the theory of time scale calculations, the Banach fixed point theorem, and by constructing an appropriate Lyapunov function to establish the existence, uniqueness, and Stepanov-stability of Stepanov almost automorphy solution for this class of CVCNNs on time scales via a direct method. Finally, an example with simulations is given to illustrate the feasibility of our results.


Volume 14, Issue 1
January 2023
Pages 1525-1537
  • Receive Date: 13 July 2022
  • Revise Date: 16 October 2022
  • Accept Date: 05 November 2022
  • First Publish Date: 08 November 2022