Stability and synchronization of complex dynamical networks with random packet losses

This paper presents a discrete-time directed complex dynamical network (CDN) model with random packet losses. The topology of CDN is independent of process of packet losses. Both exponentially mean-square stability and synchronization for the CDN with random packet dropping are investigated. Based on the Lyapunov approach, stability and synchronization conditions for this CDN are obtained which are related to packet dropping probability matrix (PDPM). And a numerical example is provided for illustration.