Polynomial decay and control of a 1 - d model for fluid-structure interaction;Décroissance polynomial et contrôle d'un modèle 1 - d d'interaction fluide-structure

Comptes Rendus Mathematique

Volumn 336, Issue 9, 2003, Pages 745-750

  Zhang, Xu ^a,b   Zuazua, Enrique ^b  

^a SICHUAN UNIVERSITY   (China)

^b UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037768582     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00169-9     Document Type: Article

References (7)

1. C. Bardos, G. Lebeau, J. Rauch, Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary, SIAM J. Control Optim. 30 (1992) 1024-1065.
2. E. Fernández-Cara, E. Zuazua, The cost of approximate controllability for heat equations: the linear case, Adv. Differential Equations 5 (2000) 465-514.
3. A.V. Fursikov, O.Yu. Imanuvilov, Controllability of Evolution Equations, in: Lecture Notes Series, Vol. 34, Research Institute of Mathematics, Seoul National University, Seoul, Korea, 1994.
4. J.L. Lions, Contrôlabilité exacte, stabilisation et perturbations de systèmes distribués. Tome 1 : Contrôlabilité exacte, in: RMA, Vol. 8, Masson, Paris, 1988.
5. X. Zhang, Explicit observability estimate for the wave equation with potential and its application, Proc. Roy. Soc. London Ser. A 456 (2000) 1101-1115.
6. X. Zhang, E. Zuazua, Polynomial decay and control of a hyperbolic-parabolic coupled system, Preprint.
7. E. Zuazua, Null control of a 1 - d model of mixed hyperbolic-parabolic type, in: J.L. Menaldi, et al. (Eds.), Optimal Control and Partial Differential Equations, IOS Press, 2001, pp. 198-210.