Finite time Convergence of Pinning Synchronization with a single Nonlinear Controller

TL;DR

This paper demonstrates that complex networks with directed couplings can achieve finite-time synchronization using a single nonlinear pinning controller, extending previous models to more general network structures.

Contribution

It introduces a novel finite-time synchronization method applicable to directed and heterogeneous networks with a single nonlinear controller.

Findings

Finite-time synchronization achieved in directed networks

Method applicable to heterogeneous dynamic networks

Works with asymmetric coupling matrices

Abstract

In this paper, we discuss distributive synchronization of complex networks in finite time, with a single nonlinear pinning controller. The results apply to heterogeneous dynamic networks, too. Different from many models, which assume the coupling matrix being symmetric (or the connecting graph is undirected), here, the coupling matrix is asymmetric (or the connecting graph is directed