Synchronization, Consensus of Complex Networks and Lyapunov Function Approach

TL;DR

This paper explores the relationship between synchronization and consensus in complex networks, emphasizing the importance of the QUAD condition and providing a unified Lyapunov function approach to derive existing results.

Contribution

It introduces a Lyapunov function framework that unifies the analysis of synchronization and consensus, highlighting the role of the QUAD condition in complex networks.

Findings

Unified Lyapunov approach for synchronization and consensus

The QUAD condition is crucial for analyzing complex networks

Existing results can be derived from the proposed framework

Abstract

In this paper, we focus on the topic Synchronization and consensus of Complex Networks and their relationships. It is revealed that two topics are closely relating to each other and all results given in \cite{Li1,Li2} and many other papers can be obtained by the results in \cite{Chen1,Chen2}. It is pointed out that QUAD condition plays important role in discussing synchronization and consensus.