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Problems of Control of the Dynamics of Incompletely Defined Three-Dimensional Elastic Bodies. II. Discretely Defined Desired State

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Abstract

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.

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References

  1. V. A. Stoyan “Problems of control of the dynamics of incompletely defined three-dimensional elastic bodies, I. Continuously defined desired state,” Cybern. Syst. Analysis, Vol. 53, No. 4, 565–575 (2017).

    Article  Google Scholar 

  2. V. A. Stoyan and K. V. Dvirnychuk, “Mathematical modeling of three-dimensional fields of transverse dynamic displacements of thick elastic plates,” Cybern. Syst. Analysis, Vol. 49, No. 6, 852–864 (2013).

    Article  MathSciNet  MATH  Google Scholar 

  3. V. A. Stoyan, Methods of Mathematical Modeling in Problems of the Dynamics of Thick Elastic Plates [in Ukrainian], VPTs Kyivs’kyi Universytet, Kyiv (2016).

    Google Scholar 

  4. V. A. Stoyan and K. V. Dvirnychuk, “Mathematical modeling of the control by dynamics of thick elastic plates. I. Control under continuous desired state,” Cybern. Syst. Analysis, Vol. 50, No. 3, 394–409 (2014).

    Article  MATH  Google Scholar 

  5. V. A. Stoyan and K. V. Dvirnychuk, “Mathematical modeling of the control by dynamics of thick elastic plates. II. Control under discrete desired state,” Cybern. Syst. Analysis, Vol. 51, No. 2, 261–275 (2015).

    Article  MATH  Google Scholar 

  6. A. I. Lurie, Spatial Problems of the Theory of Elasticity [in Russian], Gostekhizdat, Moscow (1955).

    Google Scholar 

  7. V. A. Stoyan, Mathematical Modeling of Linear, Quasilinear, and Nonlinear Dynamic Systems [in Ukrainian], VPTs Kyivs’kyi Universytet, Kyiv (2011).

    Google Scholar 

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Correspondence to V. A. Stoyan.

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Translated from Kibernetika i Sistemnyi Analiz, No. 5, September–October, 2017, pp. 102–112

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Stoyan, V.A. Problems of Control of the Dynamics of Incompletely Defined Three-Dimensional Elastic Bodies. II. Discretely Defined Desired State. Cybern Syst Anal 53, 743–752 (2017). https://doi.org/10.1007/s10559-017-9976-9

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  • DOI: https://doi.org/10.1007/s10559-017-9976-9

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