On pinning impulsive control of complex dynamical networks

This paper aims at further investigating the pinning impulsive control of complex dynamical networks. In detail, we introduce a novel approach for analyzing the synchronization stability of complex networks with impulsive signals. Moreover, we prove that one random selective impulsive controller can always pin a directed strongly connected complex network to its homogeneous solution under suitable coupling strength and impulsive signal. A simple example is then given to validate the above theoretical results.