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UNIFORM NULL CONTROLLABILITY FOR A DEGENERATING REACTION-DIFFUSION SYSTEM APPROXIMATING A SIMPLIFIED CARDIAC MODEL.
- Source :
-
SIAM Journal on Control & Optimization . 2015, Vol. 53 Issue 6, p3483-3502. 20p. - Publication Year :
- 2015
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 53
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 112319577
- Full Text :
- https://doi.org/10.1137/110836766