A Time-Scale Integral Delay Inequality Approach for Anti-synchronization of Neural Networks via Impulsive Controllers

This paper studies the time-scale exponential anti-synchronization problem of delayed neural networks by impulsive control. Based on the time scale theory, we establish a new time-scale integral delay inequality. Resorting to this novel inequality and to Lyapunov techniques we propose several new sufficient conditions to ensure anti-synchronization of the two delayed network systems with impulsive control. Finally, numerical simulations illustrate the validity of our results.