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Trudy Inst. Mat. i Mekh. UrO RAN, 2005, Volume 11, Number 2, Pages 53–59 (Mi timm189)  

This article is cited in 1 scientific paper (total in 1 paper)

Problem of determination of coordinates, orientation, and speed of an autonomous vehicle by a geophysical field

Yu. I. Berdyshev


Abstract: A new mathematical model is given for navigation of an autonomously controlled vehicle, i.e., determination on the basis of a geophysical field (as a whole and by fragment of it), not only coordinates and orientation, but also the vehicle speed at each instant. The notion of a field fragment is refined in the model. In connection with the problem of economical storage of the onboard information about the geophysical field as a whole, the necessary conditions are given for a stored function that belongs to a given class, approximates the field, and minimizes navigation error.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2005, suppl. 2, S56–S63

Bibliographic databases:
UDC: 519.6+519.85
Received: 15.04.2005

Citation: Yu. I. Berdyshev, “Problem of determination of coordinates, orientation, and speed of an autonomous vehicle by a geophysical field”, Function theory, Trudy Inst. Mat. i Mekh. UrO RAN, 11, no. 2, 2005, 53–59; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S56–S63

Citation in format AMSBIB
\Bibitem{Ber05}
\by Yu.~I.~Berdyshev
\paper Problem of determination of coordinates, orientation, and speed of an autonomous vehicle by a~geophysical field
\inbook Function theory
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2005
\vol 11
\issue 2
\pages 53--59
\mathnet{http://mi.mathnet.ru/timm189}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2200222}
\zmath{https://zbmath.org/?q=an:1163.86314}
\elib{http://elibrary.ru/item.asp?id=12040703}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2005
\issue , suppl. 2
\pages S56--S63


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    This publication is cited in the following articles:
    1. “Vitalii Ivanovich Berdyshev”, Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S1–S9  mathnet  crossref  isi
  • Trudy Instituta Matematiki i Mekhaniki UrO RAN
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