Synchronization for Interacting Clusters of Generic Linear Agents and Nonlinear Oscillators: A Unified Analysis

Abstract

This paper aims to exploit a unified analysis that is feasible in tackling the synchronization for multiple interacting clusters of generic linear agents and nonlinear oscillators, which are usually considered separately using different methodologies. With this newly proposed analysis, we are able to not only provide the sufficient conditions in terms of coupling strength and structure of the coupling topology which are easy to verify but also explicitly specify the lower bound for the coupling strength as well as the convergence rate. All the results and methodologies are applicable to the classic complete consensus/synchronization problem whereas there is only one cluster of agents.