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Problems of Control of the Dynamics of Incompletely Defined Three-Dimensional Elastic Bodies. I. Continuously Defined Desired State

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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, surface, and initially distributed external-dynamic perturbations are considered as control factors. The accuracy and uniqueness of the control are evaluated.

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References

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    V. A. Stoyan

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  1. V. A. Stoyan
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Correspondence to V. A. Stoyan.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 4, July–August, 2017, pp. 84–95.

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Stoyan, V.A. Problems of Control of the Dynamics of Incompletely Defined Three-Dimensional Elastic Bodies. I. Continuously Defined Desired State. Cybern Syst Anal 53, 565–575 (2017). https://doi.org/10.1007/s10559-017-9958-y

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  • DOI: https://doi.org/10.1007/s10559-017-9958-y

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