title: Pinning synchronization of delayed neural networks.
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.
authors.affiliation: Department of Electronic Information Engineering, Hong Kong Polytechnic University, Hong Kong. enjzhou@polyu.edu.hk
authors.forename: Jin
authors.initials: J
authors.lastname: Zhou
authors.forename: Xiaoqun
authors.initials: X
authors.lastname: Wu
authors.forename: Wenwu
authors.initials: W
authors.lastname: Yu
authors.forename: Michael
authors.initials: M
authors.lastname: Small
authors.forename: Jun-An
authors.initials: JA
authors.lastname: Lu
mesh_terms: D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*; D009435:Synaptic Transmission / Q000502:physiology*