Uniqueness theorem for partially observed elliptic systems and application to asymptotic synchronization

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.

Bibliographic Details
Main Authors: Li, Tatsien, Rao, Bopeng
Format: Article
Language:English
Published: Académie des sciences 2020-07-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.31/