Finite time Convergence of Pinning Synchronization with Linear and Nonlinear Controllers

TL;DR

This paper introduces models for achieving finite-time synchronization in complex networks, including directed and heterogeneous networks, by revealing the underlying convergence mechanisms.

Contribution

It presents novel models that enable finite-time synchronization in directed and heterogeneous networks, expanding beyond symmetric coupling assumptions.

Findings

Finite-time convergence achieved in various network models

Applicable to directed and heterogeneous networks

Mechanism of convergence is elucidated

Abstract

In this paper, we propose several models, which can realize synchronization of complex networks in finite time effectively. The results apply to heterogeneous dynamic networks, too. The mechanism of finite time convergence is revealed. 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).