Adaptive observer-based projective synchronization for chaotic neural networks with mixed time delays

•The proposed method is developed for the first time for project synchronizing between two non-identical delayed chaotic neural networks by considering mixed time delays.•By utilizing a simple observer-based design technique, the project synchronization problem is investigated without any need to LMI and its limitations.•Using an adaptive law extracted based a Lyapunov-based technique, the effects of unknown parameter variations in the master system can be overcome successfully.

This paper addresses adaptive projective synchronization of chaotic neural networks with mixed time delays based on an observer-based design strategy. For this, the idea of designing nonlinear state observers is used, and a novel adaptive observer-based controller is given to provide projective synchronization between the master and the slave chaotic systems. Lyapunov theorem is also utilized to obtain the adaptation laws for tuning the controller when the parameters of the master system are unknown. The proposed control scheme is successfully applied for projective synchronization of two chaotic neural networks with mixed delays. The simulation results demonstrate the feasibility and efficiency of the presented method.