ARTICLE
LACK OF EXPONENTIAL STABILITY FOR RAYLEIGH BEAM EQUATION OF ONLY ONE DYNAMICAL BOUNDARY CONTROL WITH DELAY
- Discussiones Mathematicae Differential Inclusions, Control and Optimization , 44 (1) : 51-75
Lien de l'article :
https://doi.org/10.7151/dmdico.1246
Discipline :
Mathématiques
Auteur(s) :
Innocent Ouedraogo, Cheikh Seck, Roland Silga, Gilbert Bayili
Auteur(s) tagués :
BAYILI Gilbert
OUEDRAOGO Innocent
Renseignée par : OUEDRAOGO Innocent
Résumé
We consider the Rayleigh beam equation under dynamic control moment with a delay term in the dynamic control. We establish the strong stability of this system and then prove that the system admits the same rational decay rate as the one without delay. But we show that it is not exponentially stable.
Mots-clés
Rayleigh beam equation, dynamic boundary control, spectral analysis, strong stability, rational stabilization.