ARTICLE
Polynomial stability of a Rayleigh system with distributed delay
- MALAYA JOURNAL OF MATEMATIK , 12 (4) : 388-411
Lien de l'article :
http://doi.org/10.26637/mjm1204/004
Discipline :
Mathématiques
Auteur(s) :
INNOCENT OUEDRAOGO, DESIRE SABA, CHEIKH SECK, GILBERT BAYILI
Auteur(s) tagués :
BAYILI Gilbert
OUEDRAOGO Innocent
Renseignée par : OUEDRAOGO Innocent
Résumé
In this paper we study the polynomial stability of a Rayleigh system with distributed delay in dynamic control. After studying the existence and uniqueness of the solution, we showed polynomial stability and finally proved that this polynomial stability is the best that can be had by establishing that there is no exponential stability. Our contribution is the introduction of the distributed delay term in the control.
Mots-clés
Rayleigh beam equation, dynamic boundary control, distributed delay, spectral analysis, Rational stabilization.