О задачах управления динамикой неполно определенных трехмерных упругих тел. I. Случай непрерывно заданного желаемого состояния / Стоян В. А. (2017)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2017, 53 (4))

Stoyan V.A.
Problems of control of the dynamics of not fully determined three-dimensional elastic bodies. I. The case of continuously defined desired state

The author solves the problems of control of linearly transformed vector function of displacement points of three-dimensional elastic body with the purpose of root-mean-square approximation to its discretely defined values. The problems are solved without constraints on the body geometry and under discretely defined observations of its initial-boundary state. Spatially, superficially, and initially distributed external-dynamic perturbations are considered as control factors. The evaluation of accuracy and uniqueness of control is conducted. © 2017, Springer Science+Business Media, LLC.

Keywords: control, pseudoinversion, spatial problems of elastic theory, spatially distributed dynamic systems, Computer science, Control, Cybernetics, Boundary state, Control factors, Elastic theory, External dynamics, Pseudo-inversion, Root Mean Square, Spatially distributed dynamic system, Vector functions, Elasticity


Cite:
Stoyan V.A. (2017). Problems of control of the dynamics of not fully determined three-dimensional elastic bodies. I. The case of continuously defined desired state. Cybernetics and Systems Analysis, 53 (4), 84-95. doi: https://doi.org/10.1007/s10559-017-9976-9 http://jnas.nbuv.gov.ua/article/UJRN-0000719123 [In Russian].


 

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