Geodesic
Optimal control of a rotating body beam
ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002), pp. 157-178

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In this paper we consider the problem of optimal control of the model for a rotating body beam, which describes the dynamics of motion of a beam attached perpendicularly to the center of a rigid cylinder and rotating with the cylinder. The control is applied on the cylinder via a torque to suppress the vibrations of the beam. We prove that there exists at least one optimal control and derive a necessary condition for the control. Furthermore, on the basis of iteration method, we propose numerical approximation scheme to calculate the optimal control and give numeric examples.

DOI : 10.1051/cocv:2002007
Classification : 49K20, 35L75, 74K10
Keywords: rotating body beam, optimal control, numerical approximation scheme 
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     author = {Liu, Weijiu},
     title = {Optimal control of a rotating body beam},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {157--178},
     publisher = {EDP-Sciences},
     volume = {7},
     year = {2002},
     doi = {10.1051/cocv:2002007},
     mrnumber = {1925025},
     zbl = {1053.49023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002007/}
}
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Liu, Weijiu. Optimal control of a rotating body beam. ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002), pp. 157-178. doi: 10.1051/cocv:2002007

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