PolyU IR
 

PolyU Institutional Repository >
Electronic and Information Engineering >
EIE Journal/Magazine Articles >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/5274

Title: Pinning synchronization of delayed neural networks
Authors: Zhou, Jin
Wu, Xiaoqun
Yu, Wenwu
Small, Michael
Lu, Jun-an
Subjects: Adaotuve systems
Complex networks
Delays
Lyapunov methods
Neural nets
Neurophysiology
synchronisation
Issue Date: Dec-2008
Publisher: American Institute of Physics
Citation: Chaos: an interdisciplinary journal of nonlinear science, Dec. 2008, v. 18, no. 4, 043111, p. 1-9.
Abstract: This paper investigates adaptive pinning synchronization of a general weighted neural network with coupling delay. Unlike recent works on pinning synchronization which proposed the possibility that synchronization can be reached by controlling only a small fraction of neurons, this paper aims to answer the following question: Which neurons should be controlled to synchronize a neural network? By using Schur complement and Lyapunov function methods, it is proved that under a mild topology-based condition, some simple adaptive feedback controllers are sufficient to globally synchronize a general delayed neural network. Moreover, for a concrete neurobiological network consisting of identical Hindmarsh–Rose neurons, a specific pinning control technique is introduced and some numerical examples are presented to verify our theoretical results.
Description: DOI: 10.1063/1.2995852
Rights: © 2008 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in J. Zhou et al., Chaos: an interdisciplinary journal of nonlinear science 18, 043111 (2008) and may be found at http://link.aip.org/link/?cha/18/043111
Type: Journal/Magazine Article
URI: http://hdl.handle.net/10397/5274
ISSN: 1054-1500 (print)
1089-7682 (online)
Appears in Collections:EIE Journal/Magazine Articles

Files in This Item:

File Description SizeFormat
Zhou_Pinning_Synchronization_Neural.pdf9.95 MBAdobe PDFView/Open



Facebook Facebook del.icio.us del.icio.us LinkedIn LinkedIn


All items in the PolyU Institutional Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
No item in the PolyU IR may be reproduced for commercial or resale purposes.

 

© Pao Yue-kong Library, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
Powered by DSpace (Version 1.5.2)  © MIT and HP
Feedback | Privacy Policy Statement | Copyright & Restrictions - Feedback