Original article: Pinning synchronization of linearly coupled delayed neural networks

Authors:
Qiang Song;Jinde Cao;Fang Liu
Affiliations:
School of Automation, Southeast University, Nanjing 210096, China and School of Information Engineering, Huanghuai University, Zhumadian, Henan 463000, China;Department of Mathematics, Southeast University, Nanjing 210096, China;School of Information Engineering, Huanghuai University, Zhumadian, Henan 463000, China
Venue:
Mathematics and Computers in Simulation
Year:
2012

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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.