A block moment method to handle spectral condensation phenomenon in parabolic control problems

Author:

Benabdallah Assia,Boyer Franck,Morancey Morgan

Publisher

Cellule MathDoc/CEDRAM

Reference49 articles.

1. [AB20] Allonsius, Damien; Boyer, Franck Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries, Math. Control Relat. Fields, Volume 10 (2020) no. 2, pp. 217-256

2. [ABM18] Allonsius, Damien; Boyer, Franck; Morancey, Morgan Spectral analysis of discrete elliptic operators and applications in control theory, Numer. Math., Volume 140 (2018) no. 4, pp. 857-911

3. [AI01] Avdonin, Sergei A.; Ivanov, Sergei A. Riesz bases of exponentials and divided differences, Algebra Anal., Volume 13 (2001) no. 3, pp. 1-17

4. [AKBDK05] Ammar Khodja, Farid; Benabdallah, Assia; Dupaix, Cédric; Kostin, Ilya Null-controllability of some systems of parabolic type by one control force, ESAIM Control Optim. Calc. Var., Volume 11 (2005) no. 3, pp. 426-448

5. [AKBGBdT11] Ammar Khodja, Farid; Benabdallah, Assia; González-Burgos, Manuel; de Teresa, Luz The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials, J. Math. Pures Appl., Volume 96 (2011) no. 6, pp. 555-590

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