Abstract
Distributed systems are systems governed by Partial Differential Equations; this terminology is classical in the framework of control theory; we use this terminology in order to emphasize that we are concerned, in this paper, with some asymptotic questions which arise in connection with the optimal control of distributed systems.
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Bibliography
A. Bensoussan, J.-L. Lions and G. Papanicolaou [1] Asymptotic Analysis for periodic structures — Studies in Math. and its Applications - 5 - (1978) - North Holland.
I. Lasiecka, J.-L. Lions, R. Triggiani [1] Boundary control of hyperbolic systems J.M.P.A. 1985.
J.-L. Lions [1] Contrôle des systèmes distribués Singuliers. Paris, Gauthier Villars, 1983.
J.-L. Lions [2] Some methods in the analysis of systems and their control. Science Press, Beijing (1981). Gordon and Rreach.
J.-L. Lions [3] Some asymptotic problems in the optimal control of distributed systems. NASA-IEEE conference in San Diego, 1984.
J.-L. Lions [4] Un résultat de régularité pour l’opérateur \( \frac{{{\partial^2}}}{{\partial {t^2}}} + {\Delta^2} \). Dedicated to S. Mizohata for his 60th birthday. To appear — Kyoto Univ.
J.-L. Lions [5] Lectures at the course CEA-EDF-INRIA, Bréau Sans Nappes, Summer 1983. CEA Publication, 1985.
E. Sanchez-Palencia [1] Non homogeneous media and vibration theory. Lecture Notes in Physics 127 (1980), Springer Verlag.
L. Tartar [1] Unpublished.
S. Vanninathan [1] C.R. Acad. Sc. 1979. 1980.
Additional Bibliography
M. Avellaneda and F.-H. Lin [1] Counter examples related to high frequency oscillation of Poisson Kernels, Appl. Math, and Opt. (to appear).
M. Avellaneda and F.-H. Lin [1] Homogenization of elliptic problems with Lp boundary data. Appl. Math, and Opt. (to appear).
J.-L. Lions [1] Contrôlabilite exacte de systemes distribues. C.R.A.S., Paris, t. 302, 1986, pp. 471–475.
J.-L. Lions [2] Lecture at P. Lax Symposium. Berkeley, June 1986.
J.-L. Lions [3] J. Von Neumann lecture. SIAM, Boston, July 1986.
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© 1987 Springer-Verlag New York Inc.
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Lions, JL. (1987). Asymptotic Problems in Distributed Systems. In: Antman, S.S., Ericksen, J.L., Kinderlehrer, D., Müller, I. (eds) Metastability and Incompletely Posed Problems. The IMA Volumes in Mathematics and Its Applications, vol 3. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8704-6_14
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DOI: https://doi.org/10.1007/978-1-4613-8704-6_14
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