Synchronization for linear singularly perturbed complex networks with coupling delays

Abstract

This paper is concerned with the synchronization problem about linear singularly perturbed complex network system with coupling delay. The sufficient delay-dependent conditions for the synchronization of the network are established by introducing an equivalent network system with the Lyapunov stability theory. These conditions, which are formulated in terms of linear matrix inequalities, can be solved efficiently by the LMI toolbox of MATLAB. A simulation example is provided to show the validity of the proposed the synchronization conditions of the whole network.

Keywords:

• complex network
• singularly perturbed system
• synchronization
• Lyapunov functional
• coupling delays

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China under [grant number 61104064], [grant number 61174038].