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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 10, Pages 1563–1570
DOI: https://doi.org/10.7868/S0044466914100068 (Mi zvmmf10094) 		 
Optimal observation of controlled elastic vibrations of a beam in the presence of measurement errors

V. R. Barseghyan

Yerevan State University, Alex Manoogian 1, Yerevan, 0025, Armenia
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DOI: https://doi.org/10.7868/S0044466914100068
Abstract: 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.
Key words: equation for elastic beam vibrations, actual signal, optimal observation, the case of measurement errors.
Received: 24.04.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 10, Pages 1505–1512
DOI: https://doi.org/10.1134/S0965542514100054
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: V. R. Barseghyan, “Optimal observation of controlled elastic vibrations of a beam in the presence of measurement errors”, Zh. Vychisl. Mat. Mat. Fiz., 54:10 (2014), 1563–1570; Comput. Math. Math. Phys., 54:10 (2014), 1505–1512
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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