Distributed PI Control for Synchronization in Directed Strongly Connected Complex Dynamical Networks

Synchronization of directed complex networks has been extensively studied in the previous two decades due to its potential applications in the real world practices. To reveal and analyze the inherent mechanism of global synchronization in the complex networks with directed topologies, this paper attempts to developing a novel synchronization approach by using algebraic connectivity and PI control protocols. First, we studied the distributed PI control for synchronization in directed strongly connected networks and obtained some sufficient conditions to guarantee the networks reach global synchronization. Then, a numerical example is given to verify the effectiveness of the proposed theoretical results.