Event-Triggered Pinning Control of Switching Networks

Abstract—This paper investigates event-triggered pinning con-trol for the synchronization of complex networks of nonlinear dynamical systems. We consider networks described by time-varying weighted graphs and featuring generic linear interaction protocols. Sufficient conditions for the absence of Zeno behavior are derived and exponential convergence of a global normed error function is proven. Static networks are considered as a special case, wherein the existence of a lower bound for interevent times is also proven. Numerical examples demonstrate the effectiveness of the proposed control strategy. Index Terms—Network analysis and control, networked control systems, switched systems. I