Geodesic
Thermoelastic strip-shaped plate motion control: optimal restoration of deflection from incomplete measurements with errors
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 64-74

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We consider a problem of motion control for a thermoelastic strip-shaped plate, namely, the problem of optimal restoration of its deflection in the presence of errors in temperature measurements. By the separation of variables, this problem is reduced to a problem for an infinite system of ordinary differential equations involving real signal observation. For each harmonic, using the incoming signal boost, we construct a universal optimal operation that allows us to restore the plate’s deflection at any of its points and at any time instant. 
@article{TSP_2014_30_30_a2,
     author = {V. R. Barseghyan},
     title = {Thermoelastic strip-shaped plate motion control: optimal restoration of deflection from incomplete measurements with errors},
     journal = {Trudy Seminara im. I.G. Petrovskogo},
     pages = {64--74},
     publisher = {mathdoc},
     volume = {30},
     number = {30},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a2/}
}
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V. R. Barseghyan. Thermoelastic strip-shaped plate motion control: optimal restoration of deflection from incomplete measurements with errors. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 64-74. http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a2/