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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 517.95:519.86:539.3
V.A. Stoyan

PROBLEMS OF CONTROL OF THE DYNAMICS OF NOT FULLY DETERMINED
THREE-DIMENSIONAL ELASTIC BODIES.
I. THE CASE OF CONTINUOUSLY DEFINED DESIRED STATE

Abstract. The author solves problems of control of a linearly transformed vector function of displacements of points of a three-dimensional elastic body with the purpose of root-mean-square approximation to its continuously defined values. No constraints are imposed on body’s geometry and observations of its initial– boundary state are continuously defined. Spatial, superficial and initially distributed external-dynamic perturbations are considered as controlling factors. The accuracy and uniqueness of control are evaluated.

Keywords: spatially distributed dynamic systems, spatial problems of elastic theory, pseudoinversion, control.



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Taras Shevchenko National University of Kyiv, Kyiv, Ukraine,
e-mail: v_a_stoyan@ukr.net.

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