On optimal control and observation of the elastic vibrations of the beam
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2014, Vol 67, Issue 2
Abstract
The problems of optimal control and observation of vibrations of an elastic beam with free supported ends are considered, when there is an axial compression, and, for the forces exceeding a critical value of Euler. Using the method of the variables separation, the problems of the optimal control are modified to solving the relevant problems, described by ordinary differential equations, which are solved by the moment problems. An explicit solution to the optimal control problem of an elastic beam is constructed and the convergence of obtained series is shown. The problem of recovering the initial conditions of the beam with measures done at given moment of times is solved.
Authors and Affiliations
Vanya Barseghyan, Lavrentiy Movsisyan
Keywords
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