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Avtomatika i Telemekhanika, 2005, Issue 6, Pages 30–37 (Mi at1382)  
This article is cited in 2 scientific papers (total in 2 papers)

Deterministic Systems

Spinor model of generalized three-dimensional rotations

A. A. Myl'nikov, A. I. Prangishvili, I. D. Rodonaya

Georgian Technical University, Tbilisi, Georgia
Full-text PDF (160 kB) Citations (2)
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Abstract: Equations of the set of all possible rotations of the three-dimensional space (with both zero and nonzero centers) which translate the given initial point to the final one were obtained using the spinor representation of the orthogonal transformations of rotation. An equation of the plane where the centers of these rotations are situated was obtained. Relations between the elements of the complex unitary matrices of the second order and the real orthogonal rotation matrices of the third order as well as expressions for calculation of the Euler angles from the coordinates of the initial and final rotation points were derived. The latter play an important part in the control of spatial rotations of the mechanical plants.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 10.06.2004
English version:
Automation and Remote Control, 2005, Volume 66, Issue 6, Pages 876–882
DOI: https://doi.org/10.1007/s10513-005-0131-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Myl'nikov, A. I. Prangishvili, I. D. Rodonaya, “Spinor model of generalized three-dimensional rotations”, Avtomat. i Telemekh., 2005, no. 6, 30–37; Autom. Remote Control, 66:6 (2005), 876–882
Citation in format AMSBIB
\Bibitem{MylPraRod05}
\by A.~A.~Myl'nikov, A.~I.~Prangishvili, I.~D.~Rodonaya
\paper Spinor model of generalized three-dimensional rotations
\jour Avtomat. i Telemekh.
\yr 2005
\issue 6
\pages 30--37
\mathnet{http://mi.mathnet.ru/at1382}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2157571}
\zmath{https://zbmath.org/?q=an:1113.70302}
\transl
\jour Autom. Remote Control
\yr 2005
\vol 66
\issue 6
\pages 876--882
\crossref{https://doi.org/10.1007/s10513-005-0131-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-21644452145}
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  • https://www.mathnet.ru/eng/at1382
  • https://www.mathnet.ru/eng/at/y2005/i6/p30
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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