title: Pinning cluster synchronization in an array of coupled neural networks under event-based mechanism.
abstract: Cluster synchronization is a typical collective behavior in coupled dynamical systems, where the synchronization occurs within one group, while there is no synchronization among different groups. In this paper, under event-based mechanism, pinning cluster synchronization in an array of coupled neural networks is studied. A new event-triggered sampled-data transmission strategy, where only local and event-triggering states are utilized to update the broadcasting state of each agent, is proposed to realize cluster synchronization of the coupled neural networks. Furthermore, a self-triggered pinning cluster synchronization algorithm is proposed, and a set of iterative procedures is given to compute the event-triggered time instants. Hence, this will reduce the computational load significantly. Finally, an example is given to demonstrate the effectiveness of the theoretical results.
authors.affiliation: School of Mathematics, Hefei University of Technology, Hefei, 230009, China. Electronic address: lilulu01@gmail.com.
authors.forename: Lulu
authors.initials: L
authors.lastname: Li
authors.affiliation: Department of Mathematics, City University of Hong Kong, Hong Kong. Electronic address: madaniel@cityu.edu.hk.
authors.forename: Daniel W C
authors.initials: DWC
authors.lastname: Ho
authors.affiliation: Department of Mathematics, Southeast University, Nanjing 210096, China. Electronic address: jdcao@seu.edu.cn.
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
authors.affiliation: Department of Mathematics, Southeast University, Nanjing 210096, China. Electronic address: jqluma@seu.edu.cn.
authors.forename: Jianquan
authors.initials: J
authors.lastname: Lu
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D016571:Neural Networks, Computer
keywords: Cluster synchronization; Event-based mechanism; Neural networks; Pinning control