Stabilization of coupled systems

Kaïs Ammari (1) , Michel Mehrenberger (2, 3)

1 FSM - Faculté des Sciences de Monastir
2 CALVI - Scientific computation and visualization
3 IRMA - Institut de Recherche Mathématique Avancée

We characterize the stabilization for some coupled infinite dimensional systems. The proof of the main result uses the methodology introduced in Ammari and Tucsnak [2], where the exponential stability for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined to a boundedness property of the transfer function of the associated open loop system and a result in [11].

Domaines: Mathématiques [math]

Kaïs Ammari, Michel Mehrenberger. Stabilization of coupled systems. Acta Mathematica Hungarica, 2009, ⟨10.1007/s10474-009-8011-7⟩. ⟨hal-01298966⟩