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Let be a bounded domain in with a smooth boundary . In this work we study the existence of solutions for the following boundary value problem:
where is a -function such that for every and for .
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...
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
...
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