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Title: Pinning synchronization of delayed neural networks
Authors: Zhou, Jin
Wu, Xiaoqun
Yu, Wenwu
Small, Michael
Lu, Jun-an
Subjects: Adaotuve systems
Complex networks
Lyapunov methods
Neural nets
Issue Date: Dec-2008
Publisher: American Institute of Physics
Source: 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.
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
Type: Journal/Magazine Article
DOI: 10.1063/1.2995852
ISSN: 1054-1500 (print)
1089-7682 (online)
Appears in Collections:EIE Journal/Magazine Articles

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