Trudy Instituta Matematiki i Mekhaniki UrO RAN
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2023, Volume 29, Number 2, Pages 23–26
DOI: https://doi.org/10.21538/0134-4889-2023-29-2-23-26 (Mi timm1996) 		 
The motion in $\mathbb{R}^3$ of an observer under threat from an object

V. I. Berdyshev

N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (148 kB)
References:
PDF
HTML
DOI: https://doi.org/10.21538/0134-4889-2023-29-2-23-26
Abstract: For an observer moving over a cone, a way of motion is proposed that allows the observer to monitor an object on the largest possible part of its trajectory under the threat from mini-objects launched by the object in the process of its motion.
Keywords: navigation, optimal trajectory, moving object, observer, video sensor, locator.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-913
This study is a part of the research carried out at the Ural Mathematical Center and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-02-2023-913).
Received: 11.03.2023
Revised: 15.04.2023
Accepted: 24.04.2023
Bibliographic databases:
Document Type: Article
UDC: 519.62
MSC: 00A05
Language: Russian
Citation: V. I. Berdyshev, “The motion in $\mathbb{R}^3$ of an observer under threat from an object”, Trudy Inst. Mat. i Mekh. UrO RAN, 29, no. 2, 2023, 23–26
Citation in format AMSBIB
\Bibitem{Ber23}
\by V.~I.~Berdyshev
\paper The motion in $\mathbb{R}^3$ of an observer under threat from an object
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2023
\vol 29
\issue 2
\pages 23--26
\mathnet{http://mi.mathnet.ru/timm1996}
\crossref{https://doi.org/10.21538/0134-4889-2023-29-2-23-26}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=610577}
\elib{https://elibrary.ru/item.asp?id=53846795}
\edn{https://elibrary.ru/afcfaj}
Linking options:
  • https://www.mathnet.ru/eng/timm1996
  • https://www.mathnet.ru/eng/timm/v29/i2/p23
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:87
    Full-text PDF :27
    References:22
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024