4.5 Article

LAG SYNCHRONIZATION OF BURSTING NEURON SYSTEMS WITH STOCHASTIC PERTURBATION VIA ADAPTIVE FEEDBACK CONTROL

Journal

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217979214500222

Keywords

Hindmarsh-Rose system; lag synchronization; chaotic bursting; adaptive feedback control

Funding

  1. National Natural Science Foundation of China [11102180, 11371287, 51178157]
  2. International Science and Technology Cooperation Program of China [2010DFA14700]
  3. Natural Science Foundation of the Jiangsu Province of China [BK2012672]

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Lag synchronization of bursting neuron systems is explored when the system is subjected to stochastic perturbation. An adaptive feedback control scheme is presented when the parameters of the neuron systems are unknown. At the same time, an adaptive control law is obtained via theoretical derivation so that two slightly mismatched chaotic systems achieved asymptotically lag synchronization. The effectiveness of the proposed scheme is not only confirmed by theoretical analysis, but also verified by numerical simulations.

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