Abstract
An optimal control problem governed by a complementarity system is investigated. The forward problem describing the contact between two elastic membranes is formulated in terms of displacements and action–reaction between the two membranes. Our objective is to reach a desired profile of displacements by acting on the external forces. The existence of an optimal solution is proved and first-order optimality conditions are derived by applying a regularization–relaxation technique.
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Tber, M.H. Optimal control of the two membranes problem: optimality conditions. J. Appl. Math. Comput. 52, 245–263 (2016). https://doi.org/10.1007/s12190-015-0939-x
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DOI: https://doi.org/10.1007/s12190-015-0939-x