Regularized Optimal Design Problem for a Viscoelastic Plate Vibrating Against a Rigid Obstacle

Abstract : We deal with a regularized optimal control problem governed by a nonlinear hyperbolic initial-boundary value problem describing behaviour of a viscoelastic plate vibrating against a rigid obstacle. A variable thickness of a plate plays the role of a control variable. The original problem for the deflection is regularized in order to have the uniqueness of a solution to the state problem and only the existence of an optimal thickness but also necessary optimality conditions.
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Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.127-136, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_11〉
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Igor Bock. Regularized Optimal Design Problem for a Viscoelastic Plate Vibrating Against a Rigid Obstacle. Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.127-136, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_11〉. 〈hal-01626915〉

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