Abstract
We consider the problem of optimal control of a Kirchhoff plate. Bilinear controls are used as forces acting on internal regions, to make the plate close to a desired profile, taking into the account a quadratic cost of control. We prove the existence of an optimal control and characterize it uniquely through the solution of an optimality system.
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Bradley, M. E. and Lenhart, S. M. (1994) Bilinear optimal control of a Kirchhoff plate, Systems and Control Letters, 22, 27–38.
Lagnese, J. E. (1989) Boundary Stabilization of Thin Plates, Society for Industrial and Applied Mathematics, Philadelphia.
Lagnese, J. E. and Lions, J. L. (1988) Modelling Analysis and Control of Thin Plates, Masson, Paris.
Lions, J. L. (1971) Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, Berlin.
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© 1996 Springer Science+Business Media Dordrecht
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Bradley, M.E., Lenhart, S.M. (1996). Bilinear optimal control of a Kirchhoff plate via internal controllers. In: Malanowski, K., Nahorski, Z., Peszyńska, M. (eds) Modelling and Optimization of Distributed Parameter Systems Applications to engineering. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34922-0_24
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DOI: https://doi.org/10.1007/978-0-387-34922-0_24
Publisher Name: Springer, Boston, MA
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