Geodesic
Optimal observation of controlled elastic vibrations of a beam in the presence of measurement errors
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 10, pp. 1563-1570 
V. R. Barseghyan. Optimal observation of controlled elastic vibrations of a beam in the presence of measurement errors. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 10, pp. 1563-1570. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_10_a2/
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     title = {Optimal observation of controlled elastic vibrations of a beam in the presence of measurement errors},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of constructing of an optimal operation for restoring the state of controlled elastic vibrations of a beam in the presence of measurement errors is investigated. By the method of separation of variables, the problem is reduced to an observation problem with an actual output signal for an infinite system of ordinary differential equations. For each harmonic, a universal optimal operation that restores the deflection of the beam from equilibrium and the velocities of all points of the beam is constructed by amplifying the ideal part of the signal produced by the system.

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