Synchronization of a coupled Hodgkin–Huxley neurons via high order sliding-mode feedback

R. Aguilar-López and R. Martínez-Guerra

Chaos, Solitons & Fractals, 2008, vol. 37, issue 2, 539-546

Abstract: This work deals with the synchronizations of two both coupled Hodgkin–Huxley (H–H) neurons, where the master neuron posses inner noise and the slave neuron is considered in a resting state, (without inner noise) and an exciting state (with inner noise). The synchronization procedure is done via a feedback control, considering a class of high order sliding-mode controller which provides chattering reduction and finite time synchronization convergence, with a satisfactory performance. Theoretical analysis is done in order to show the closed-loop stability of the proposed controller and the calculated finite time for convergence. The main results are illustrated via numerical experiments.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:37:y:2008:i:2:p:539-546

DOI: 10.1016/j.chaos.2006.09.029

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