Optimal location of the actuator for the pointwise stabilization of a string;Optimisation de la position de l'actionneur pour la stabilisation ponctuelle d'une corde

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 330, Issue 4, 2000, Pages 275-280

  Ammari, Kais ^a   Tucsnak, Marius ^a   Henrot, Antoine ^a,b  

^a UNIVERSITÉ HENRI POINCARÉ NANCY 1   (France)

^b UNIVERSITÉ DE LORRAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034651345     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)00113-0     Document Type: Article

References (8)

1. Ammari K., Henrot A., Tucsnak M., Optimal Location of the Actuator for the Pointwise Stabilization of a String, (submitted).
2. Chen G., Huang F.L., Liu K.S., Exponential stability analysis of a long chain of coupled vibrating strings with dissipative linkage, SIAM J. Appl. Math. 49 (1989) 1694-1707.
3. Chen G., Coleman M., West H., Pointwise stabilization in the middle of the span for second order systems, non uniform and uniform exponential decay of solutions, SIAM J. Appl. Math. 47 (1987) 751-780.
4. Cox S., Zuazua E., The rate at which energy decays in a damped string, Commun. Partial Differ. Eq. 19 (1994) 213-243.
5. Haraux A., Une remarque sur la stabilisation de certains systèmes du deuxième ordre en temps, Port. Math. 46 (1989) 245-258.
6. Jaffard S., Tucsnak M., Zuazua E., Singular internal stabilization of the wave equation, J. Differ. Eq. 145 (1998) 184-215.
7. Lions J.-L., Contrôlabilité Exacte des Systèmes Distribués, Masson, Paris, 1988.
8. Liu K.S., Energy decay problems in the design of a pointwise stabilizer for string vibrating systems, SIAM J. Control 26 (1988) 1248-1256.