Stability analysis of complex-valued impulsive systems with time delay.

In this paper, the global exponential stability of complex-valued impulsive systems is addressed. Some new sufficient conditions are obtained to guarantee the global exponential stability by the Lyapunov-Razumikhin theory, which extend and improve most of recent results. Moreover, the obtained Razumikhin conditions are very simple and efficient to verify in real problems and helpful to investigate the stability of delayed neural networks and synchronization problems of chaotic systems under impulsive perturbation. Finally, a numerical example is given to show the effectiveness of the obtained results.