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math.OC2023★ 2 cited
Optimal Motions of an Elastic Structure under Finite-Dimensional Distributed Control
Georgy Kostin, Alexander Gavrikov
An optimal control problem for longitudinal motions of a thin elastic rod is considered. We suppose that a normal force, which changes piecewise constantly along the rod's length,…
math.OC2022★ 5 cited
Optimal Control of Longitudinal Motions for an Elastic Rod with Distributed Forces
Georgy Kostin, Alexander Gavrikov
The study is devoted to mathematical modeling and optimal control design of longitudinal motions of a rectilinear elastic rod. The control inputs are a force, which is normal to th…