Finite-time synchronization of coupled Cohen-Grossberg neural networks with and without coupling delays

This paper analyzes synchronization in finite time for two types of coupled delayed Cohen-Grossberg neural networks (CDCGNNs). In the first type, linearly coupled Cohen-Grossberg neural networks with and without coupling delays are considered, respectively. In the second type, nonlinearly coupled Cohen-Grossberg neural networks both with and without coupling delays are discussed. By designing suitable controllers and using some inequality techniques, several criteria ensuring finite-time synchronization of the CDCGNNs with linear coupling and nonlinear coupling are derived, respectively. Moreover, the settling times of synchronization in finite time for the considered networks are also predicted. In the end, the availability for the acquired finite-time synchronization conditions is confirmed by two selected numerical examples.