Distributed Synchronisation of Heterogeneous Dynamical Networks With Nonlinear Diffusive Couplings

TL;DR

This paper presents distributed conditions for achieving output synchronisation in heterogeneous dynamical networks with nonlinear diffusive couplings, using local information and relative dissipativity properties.

Contribution

It introduces novel distributed criteria based on relative dissipativity for synchronisation in complex networks with nonlinear couplings.

Findings

Conditions verified using local information.

Application to Goodwin oscillator network.

Successful analysis of synchronisation properties.

Abstract

This letter investigates the problem of output synchronisation in heterogeneous dynamical networks with nonlinear diffusive couplings in the presence of disturbances on the coupling links. By exploiting relative dissipativity properties between adjacent agents, distributed conditions are established to guarantee output synchronisation. Specifically, these conditions can be verified using only local information associated with neighbouring agents and coupling links. As an illustration, a heterogeneous network of Goodwin oscillators is considered, where the relative dissipativity properties between neighbouring oscillators are characterised and used to analyse synchronisation.