Stability analysis on a neutral neural network model

Abstract

To describe the complicated neural dynamics of cerebra with time delays, a new type of model called generalized cellular neutral neural networks (GCNNNs) is studied in this paper. It is noted that the GCNNNs reduce to generalized cellular neural networks (GCNNs) in the absence of the neutral term in systems. Some criteria for mean square exponential stability and asymptotic stability of GCNNNs are established and the relationship between the neutral item and the whole system is analyzed. Simulation results are given to show the effectiveness of the proposed analysis algorithms. © Springer-Verlag Berlin Heidelberg 2005.