Synchronization of drive-response networks with event-based pinning control

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

1 Scopus Citations
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Detail(s)

Original languageEnglish
Number of pages10
Journal / PublicationNeural Computing and Applications
Online published3 Jan 2021
Publication statusOnline published - 3 Jan 2021

Abstract

This work investigates the pinning synchronization problem of a drive-response network with nonlinear nodal dynamics under dynamic pinning strategy, where the control signal updates according to some well-designed triggering condition so as to reduce the control cost. By using a novel differential inequality, sufficient criteria are derived to guarantee synchronization, revealing the crucial role of the time average of the smallest eigenvalue of an augmented matrix in spite of the changeable pinning strength. Meanwhile, Zeno phenomenon is also successfully excluded. As applications, the main theorem is utilized to examine some specified dynamic pinning strategies, such as pinning control with periodic intermittency, switching pinned node set, and nonlinear pinning strength. An interesting finding is that drive-response synchronization is possible even when the underlying topology is disconnected. Finally, numerical examples on coupled Hopfield neural networks and networked nonlinear oscillators are given for demonstration purpose.

Research Area(s)

  • Drive-response network, Event-triggered control, Intermittent control, Pinning control, Synchronization