Optimal control of the Kirchhoff plate model
Journal: Mekhanika tverdogo tela (Vol.42, No. 1)Publication Date: 2012-12-20
Authors : Zuyev A.L.; Novikova Yu.V.;
Page : 163-176
Keywords : Kirchhoff plate; eigen forms; optimal control problem; maximum principle;
Abstract
A mathematical model of the Kirchhoff plate with the rotational inertia of its cross section is considered. For such a model, a system of ordinary differential equations with finite numbers of modal coordinates is derived and the optimal control problem with a quadratic cost is solved. Results of numerical integration of a two-point problem with such a control are presented.
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