STABILIZATION OF HYPERBOLIC FITZHUGH-NAGUMO EQUATIONS WITH ONE INTERIOR FEEDBACK CONTROLLER

STABILIZATION OF HYPERBOLIC FITZHUGH-NAGUMO EQUATIONS WITH ONE INTERIOR FEEDBACK CONTROLLER

G. N. Aliyeva

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Abstract

We show that the hyperbolic modi cation of FitzHugh-Nagumo system de-  ned in a bounded domain G   Rn is global exponetally stablizable by a feedback controller action in an open subdomian !   G such that G n ! is su ciently thin.

Keywords

Hyperbolic FitzHugh-Nagumo equations, feedback controller, stabilization.