Synchronization of WPAA-Solution of Clifford-Valued Neural Network with Multiple Time-Varying Delays and Impulse Effects on Hybrid Domains

Abstract

This paper addresses a class of Clifford-valued shunting inhibitory cellular neural networks on time scales. In this paper, we study the weighted pseudo almost automorphic (WPAA) solutions for Clifford-valued network models by taking into account time-varying delays and impulsive effects, resulting in a novel work. A key challenge in this context is the non-commutativity of Clifford numbers, which complicates the analysis. By using the non-decomposition and Banach fixed point, we prove the existence of a WPAA solution, and by using the Lyapunov function and feedback function, we explore the exponential synchronization for this model. The presented results significantly extend and complement existing findings in the field. In the end, the paper provides examples that demonstrate the usefulness of our analytical findings.