Observer-based impulsive control for finite-time synchronization of delayed neural networks on time scales

This paper investigates the finite-time synchronization (FTS) of delayed neural networks on time scales via impulsive control. First, an impulsive controller is designed when system states are accessible. Based on the time scale theory and mathematical induction method, a sufficient condition for FTS is presented. Then, an observer is provided to estimate system states when partial states can not be available. An observer-based impulsive controller is devised to ensure that both the observer error system and the synchronization error system converges to zero in finite time. Furthermore, the explicit expression for settling time of the FTS is given. Finally, the validity of our methods is verified by a numerical simulation.