Pinning Control of Complex Dynamical Networks

This article introduces the notion of pinning control for complex dynamical networks regarding their stabilization, synchronization and control. Specifically, it will first review the concept of network pinning control and then address the fundamental issues of network stabilizability, synchronizability and controllability. Basic ideas will be explained, technical derivations will be outlined, and important theoretical problems will be briefly discussed. It will show that the self-contained theoretical framework of pinning control technology is promising for practical applications in network science and engineering.