Synchronization analysis for fractional order memristive Cohen-Grossberg neural networks with state feedback and impulsive control

This paper studies drive response synchronization in fractional order memristive Cohen-Grossberg neural networks (FMCGNNs) with time delay. By applying the asymptotic expansion property of Mittag Leffler function and the definition of average impulsive, some sufficient conditions based on feedback control and impulsive control are established for achieving finite time synchronization and exponential synchronization of the FMCGNNs. Moreover, the selection of impulsive gain depends on the fractional order α. The upper bound of the setting time for synchronization is estimated and the precisely exponential convergence rate is obtained when two controllers are utilized. Finally, numerical simulations illustrate the correctness of the theoretical results for two different controllers.