Cluster Synchronization for Linearly Coupled Nonidentical Systems With Delays via Aperiodically Intermittent Pinning Control

IEEE Access

Xiwei Liu¹  Shaohua Li¹ 

[1] Department of Computer Science and Technology, Key Laboratory of Embedded System and Service Computing, Ministry of Education, Tongji University, Shanghai, China;

关键词: Adaptive;    aperiodically intermittent;    cluster synchronization;    time delays;    pinning control;   

DOI  :  10.1109/ACCESS.2017.2681800

来源: DOAJ

【 摘 要 】

This paper investigates the cluster synchronization problem of linearly coupled complex networks via aperiodically intermittent control (AIC). The dynamical behaviors of nodes in different clusters are assumed to be governed by different dynamical functions, while the dynamical behaviors of nodes in the same cluster are the same. Moreover, the original functions of nodes are defined by continuous-time ordinary differential equations with time-varying delays. As for the coupling matrix, we assume it is a Metzler matrix with zero row sums. The main contribution is that we pin some simple AIC to realize the cluster synchronization. Furthermore, as for the pinning control gains, both static and adaptive control cases are considered and some criteria are obtained. We also present some numerical simulations to verify the theoretical results.

【 授权许可】

Unknown