Dynamical behaviors of discrete-time cohen-grossberg neural networks with discontinuous activations and infinite delays

Abstract

The dynamical behaviors of discrete-time Cohen-Grossberg neural networks (DCGNNs) with discontinuous activations and infinite delays are further considered in this paper. Based on the functional differential inclusions theory, criteria for DCGNNs are derived to ensure the existence and uniqueness of the solution. In addition, we obtain some novel sufficient conditions for the asymptotic stability of discontinuous DCGNNs via applying the Lyapunov approach. Finally, several examples with numerical simulation are carried out to demonstrate the validity and effectiveness of the obtained results.