Pinning synchronization of linearly coupled delayed neural networks

Qiang Song, Jinde Cao and Fang Liu

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 86, issue C, 39-51

Abstract: Without assuming the symmetry or irreducibility of the coupling configuration matrices, this paper investigates the pinning synchronization in an array of linearly coupled delayed neural networks with both constant and delayed couplings. Under some low-dimensional conditions, it is shown that the network can be pinned to a homogenous state by applying adaptive feedback control actions to a small fraction of network nodes. In particular, the paper addresses how to determine a set of pinned nodes for a linearly coupled delayed neural network model with fixed coupling matrices and strengths. Numerical simulations are given to verify the theoretical analysis.

Keywords: Linearly coupled delayed neural network; Synchronization; Pinning control; Directed network topology; Time-varying delay (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:86:y:2012:i:c:p:39-51

DOI: 10.1016/j.matcom.2011.07.008

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