Journal
CHAOS
Volume 18, Issue 4, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.2995852
Keywords
adaptive systems; complex networks; delays; Lyapunov methods; neural nets; neurophysiology; synchronisation
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Funding
- University Grants Council of the Hong Kong government [PolyU 5269/06E]
- National Natural Science Foundation of China [70771084, 60574045]
- National Basic Research Program of China [2007CB310805]
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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.
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