Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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


Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find




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

Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 4, Pages 837–852 (Mi nd363)  
This article is cited in 4 scientific papers (total in 4 papers)

The problem of optimal control of a Chaplygin ball by internal rotors

Sergey V. Bolotin

Steklov Mathematical Institute of the Russian Academy of Sciences, Gubkina st. 8, Moscow, 119991, Russia
Full-text PDF (286 kB) Citations (4)
References:
PDF
HTML
Abstract: We study the problem of optimal control of a Chaplygin ball on a plane by means of 3 internal rotors. Using Pontryagin maximum principle, the equations of extremals are reduced to Hamiltonian equations in group variables. For a spherically symmetric ball, the solutions can be expressed in by elliptic functions.
Keywords: nonholonomic constraint, vaconomic mechanics, optimal control, maximum principle, Hamiltonian.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 11.G34.31.0039
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 04.09.2012
Revised: 09.11.2012
Document Type: Article
UDC: 531.36
MSC: 37J60, 37J35, 70E18, 70F25, 70H45
Language: Russian
Citation: Sergey V. Bolotin, “The problem of optimal control of a Chaplygin ball by internal rotors”, Nelin. Dinam., 8:4 (2012), 837–852
Citation in format AMSBIB
\Bibitem{Bol12}
\by Sergey~V.~Bolotin
\paper The problem of optimal control of a Chaplygin ball by internal rotors
\jour Nelin. Dinam.
\yr 2012
\vol 8
\issue 4
\pages 837--852
\mathnet{http://mi.mathnet.ru/nd363}
Linking options:
  • https://www.mathnet.ru/eng/nd363
  • https://www.mathnet.ru/eng/nd/v8/i4/p837
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Нелинейная динамика
    Statistics & downloads:
    Abstract page:376
    Full-text PDF :137
    References:79
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024