Control for hyperbolic equations

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1. [1] C. BARDOS, G. LEBEAU, J. RAUCH : Sharp sufficient conditions for the observation. Control and stabilization of waves from the boundary, To be published in SIAM. Zbl0786.93009
2. [2] N. BURQ : Contrôle de l'équation de Schrödinger en présence d'obstacles strictement convexes, Colloque E.D.P. Saint Jean-de-Monts, 1991. Zbl0768.93040
3. [3] R. GLOWINSKI, W. KINTON, M.F. WHEELER : A mixed finite element formula for the boundary controlability of the wave equation, International Journal for Numerical Methods in Engineering, Vol. 27, 623-635, 19(?). Zbl0711.65084MR91e:65089
4. [4] T. HARGÉ : Thèse, Orsay, France, 1991. 
5. [5] A. HARAUX : Séries Lacunaires et contrôle semi-interne des vibrations d'une plaque rectangulaire, Journal Math. Pures et Appliquées. Zbl0685.93039
6. [6] L. HÖRMANDER : The analysis of linear partial differential operators, Vol. III, Springer Verlag. Zbl0601.35001
7. [7] S. JAFFARD : Controle interne exact des vibrations d'une plaque carrée, Prépublication. Zbl0659.73050
8. [8] J. LAGNESE : Boundary stabilization of thin elastic plates, Proceedings of the 26th Conference on decision and control Los Angeles, CA, December 1987. 
9. [9] I. LASIECKA : Exact controlability of a plate equation with one control acting as a lending moment, Marcel Dekker. Proceeding of the Conference on Diff. Equations, Colorado Springs, 1989. Zbl0711.93012
10. [10] I. LASIECKA, R. TRIGGIANI : Exact controlability of the Euler-Bernoulli equation with controls in the Dirichlet and Neumann boundary conditions : a non conservative case, SIAM Journal of Control and Optimization, Vol. 27, n° 2, 330-374, 1989. Zbl0666.49013MR90c:93010
11. [11] I. LASIECKA, R. TRIGGIANI : Exact controlability of the Euler-Bernoulli equation with boundary controls for displacement and moments, Journal Math. Analysis and Appl. Zbl0694.49026
12. [12] I. LASIECKA, R. TRIGGIANI : Uniform decay rates for the Euler Bernoulli equation with feedback only in the bending moment, CDC Conference Austin Texas, December 1988, pp. 1260-1262. 
13. [13] I. LASIECKA, R. TRIGGIANI : Trau regularity of the solutions of the wave equation with homogeneous Neumann boundary condition, J. Math. Analysis and Appl. Zbl0686.35029
14. [14] I. LASIECKA, R. TRIGGIANI : Exact controlability of the wave equation with Neumann boundary control, Appl. Math. Optim, 1988. 
15. [15] G. LEBEAU : Contrôle et stabilisation hyperboliques, Séminaire E.D.P. Ecole Polytechnique, 1989-1990, Exposé n° 16. Zbl0706.35004
16. [16] G. LEBEAU : Contrôle de l'équation de Schrödinger, à paraître à Journal Math Pures Appl. Zbl0838.35013
17. [17] G. LEBEAU : Contrôle analytique I : Estimations a priori, Prépublication Université Paris-Sud. Zbl0780.93053
18. [18] J-L. LIONS : Contrôlabilité exacte, perturbations et stabilisation des systèmes distribués, Masson Collection RMA, Paris 1988. Zbl0653.93003
19. [19] R. MELROSE, J. SJÖSTRAND : Singularities of boundary value problems I, II, CPAM 31 (1978), CPAM 35 (1982). Zbl0546.35083
20. [20] D-L. RUSSEL : Controlability and stabilization theory for linear partial differential equations. Recent progress and open questions, SIAM Rev. 20, 1978. Zbl0397.93001
21. [21] E. ZUAZUA : Contrôlabilité exacte d'un modèle de plaques vibrantes en un temps arbitrairement petit, CRAS Paris, t. 804, Série I, n° 7, 1987, p. 173-176. Zbl0611.49028MR88d:49011

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