An Improved Impulsive Control Approach for Cluster Synchronization of Complex Networks With Parameter Mismatches

In this paper, the issue on cluster synchronization (CS) of complex networks (CNs) with parameter mismatches and time-varying delays (TVDs) is investigated. A memory pinning impulsive control (MPIC) approach, which is dependent not only on the current state and the history state but also on the number of nodes to be controlled at impulsive instants, is proposed for the first time. By resorting to the effective Lyapunov functional and impulsive differential inequalities, some criteria for achieving the CS of the concerned networks are established. Compared with the existing results, the network nodes are nonidentical and two MPIC cases are taken into account. Two numerical examples based on MATLAB software are presented to demonstrate the effectiveness of the proposed MPIC approach.

Automated summary

This paper investigates the issue of cluster synchronization in complex networks with parameter mismatches and time-varying delays, proposing a memory pinning impulsive control (MPIC) approach. Criteria for achieving the cluster synchronization are established using effective Lyapunov functional and impulsive differential inequalities. The proposed method is validated through two numerical examples based on MATLAB software.