Adaptive projective synchronization for fractional-order T-S fuzzy neural networks with time-delay and uncertain parameters

In this paper, the adaptive projective synchronization of time-delayed fractional-order (FO) T-S fuzzy neural networks is considered. By use of active control and adaptive control method, efficient hybrid control strategies are designed for FO T-S fuzzy neural networks with time-delay and uncertain parameters. Based on the new version of FO Lyapunov stability theory, the projective synchronization conditions are addressed in terms of linear matrix inequalities, which is easy for checking and applying in practical systems. Finally, numerical simulations have shown to illustrate the effectiveness of the proposed method and the application of the proposed method to secure communications have presented to validate the synchronization method.