This material is based upon work supported under a National Science Foundation Graduate Fellowship.
Research partially supported by National Science Foundation under Grant DMS-87-96320 and by Air Force Office of Scientific Research under Grant AFOSR-87-0321.
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References
P. Grisvard. "Caracterization de quelques espaces d'interpolation", Arch. Rational Mech. Anal., 25 (1967), pp. 40–63.
J. L. Lions. Contrôlabilité exacte de systèmes distribués, Masson, Paris, 1988.
I. Lasiecka. "Exact controllability of a plate equation with one control acting as a bending moment", Mercel Dekker, (to appear).
G. Lebeau. "Controle de l'equation de Schrödinger", Report Universite de Paris-Sud Mathematiques, 1989.
F. Flandoli, I. Lasiecka and R. Triggiani. "Algebraic Riccati Equations with nonsmooth observation arising in hyperbolic and Euler-Bernoulli equations", Annali di Math. Pura Appl. (IV) 25 (1988), pp. 307–382.
J. Lagnese and J. L. Lions. Modelling, Analysis and Control of Thin Plates, Masson, Paris, 1988.
I. Lasiecka and R. Triggiani. "Exact controllability of the Euler-Bernoulli equation with controls in the Dirichlet and Neumann boundary conditions: a nonconservative case", SIAM J. Control Optim. 27 (1989), pp. 330–373.
I. Lasiecka and R. Triggiani. "Exact controllability of the Euler-Bernoulli equation with boundary controls for displacement and moment", J. Math. Anal. Appl., 146, No. 1 (1990), pp. 1–33.
I. Lasiecka and R. Triggiani. "Exact controllability and uniform stabilization of Kirchoff plates with boundary control only on Δw|Σ and homogeneous boundary displacement", J. Differential Equations, (to appear).
I. Lasiecka and R. Triggiani. Further results on exact controllability of the Euler-Bernoulli equation with controls on the Dirichlet and Neumann boundary conditions, in "Lecture Notes in Control and Information Sciences", Proceedings of Conference on Stabilization of Flexible Structures, Springer-Verlag, (to appear).
I. Lasiecka and R. Triggiani. "Exact controllability and uniform stabilization of Euler-Bernoulli equations with boundary control only in Δw|Σ", Boll. Un. Mat. Ital., (to appear).
I. Lasiecka and R. Triggiani. "Regularity theory for a class of nonhomogeneous Euler-Bernoulli equations: a cosine operator approach", Boll. Un. Mat. Ital. (7), 3-B (1989), pp.199–228.
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Ann Horn, M., Lasiecka, I. (1991). The euler-bernoulli plate is exactly controllable via bending moments only. In: Hoffmann, KH., Krabs, W. (eds) Optimal Control of Partial Differential Equations. Lecture Notes in Control and Information Sciences, vol 149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043220
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DOI: https://doi.org/10.1007/BFb0043220
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