Document Type : Review articles

Authors

• Mohssine Es-saiydy
• Mohamed Zitane

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

Abstract

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.

Keywords

• Time scales
• complex-valued cellular neural networks
• Stepanov almost automorphy