Multistability of almost periodic solution for Clifford-valued Cohen–Grossberg neural networks with mixed time delays

Abstract

In this paper, the multistability of almost periodic solution of Clifford-valued Cohen–Grossberg neural networks (CGNNs) with time-varying delays is investigated. Firstly, the positive invariant set of the solutions are given by dividing the regions and inequality technique. Then, the existence and local exponential stability of [∏A(KA+1)]n almost periodic solutions of the delayed Clifford-valued CGNNs are proved by constructing auxiliary function and Lyapunov function. Next, the attraction basins of the almost periodic solutions are given. Finally, a numerical example is given to demonstrate the effectiveness and feasibility of the derived theoretical results.