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Uniqueness theorem for partially observed elliptic systems and application to asymptotic synchronization
[Théorème d’unicité de systèmes elliptiques partiellement observés et application à la synchronisation asymptotique]
Comptes Rendus. Mathématique, Tome 358 (2020) no. 3, pp. 285-295.

Nous montrons que sous la condition du rang de Kalman, l’observabilité d’une équation scalaire implique l’unicité de la solution d’un système d’opérateurs elliptiques. En utilisant ce résultat, nous établissons la synchronisation asymptotique par groupes de systèmes d’évolution du second ordre.

We show that under Kalman’s rank condition, the observability of a scalar equation implies the uniqueness of solution to a system of elliptic operators. Using this result, we establish the asymptotic synchronization by groups for second order evolution systems.

Reçu le :
Accepté le :
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DOI : https://doi.org/10.5802/crmath.31
@article{CRMATH_2020__358_3_285_0,
     author = {Tatsien Li and Bopeng Rao},
     title = {Uniqueness theorem for partially observed elliptic systems and application to asymptotic synchronization},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {285--295},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {358},
     number = {3},
     year = {2020},
     doi = {10.5802/crmath.31},
     language = {en},
}
Tatsien Li; Bopeng Rao. Uniqueness theorem for partially observed elliptic systems and application to asymptotic synchronization. Comptes Rendus. Mathématique, Tome 358 (2020) no. 3, pp. 285-295. doi : 10.5802/crmath.31. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.31/

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