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Uniform Null Controllability for a Degenerating Reaction-Diffusion System Approximating a Simplified Cardiac Model (1106.1788v6)
Published 9 Jun 2011 in math.OC and cs.SY
Abstract: This paper is devoted to the analysis of the uniform null controllability for a family of nonlinear reaction-diffusion systems approximating a parabolic-elliptic system which models the electrical activity of the heart. The uniform, with respect to the degenerating parameter, null controllability of the approximating system by means of a single control is shown. The proof is based on the combination of Carleman estimates and weighted energy inequalities.