Symmetry, Integrability and Geometry: Methods and Applications
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


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 050, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.050 (Mi sigma176) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Lie Algebroids in Classical Mechanics and Optimal Control

Eduardo Martínez

Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza, Spain
Full-text PDF (288 kB) Citations (19)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2007.050
Abstract: We review some recent results on the theory of Lagrangian systems on Lie algebroids. In particular we consider the symplectic and variational formalism and we study reduction. Finally we also consider optimal control systems on Lie algebroids and we show how to reduce Pontryagin maximum principle.
Keywords: Lagrangian mechanics; Lie algebroids; variational calculus; reduction of dynamical systems; optimal control systems.
Received: November 7, 2006; in final form March 7, 2007; Published online March 20, 2007
Bibliographic databases:
Document Type: Article
MSC: 49S05; 70H25; 22A22; 49J15
Language: English
Citation: Eduardo Martínez, “Lie Algebroids in Classical Mechanics and Optimal Control”, SIGMA, 3 (2007), 050, 17 pp.
Citation in format AMSBIB
\Bibitem{Mar07}
\by Eduardo Mart{\'\i}nez
\paper Lie Algebroids in Classical Mechanics and Optimal Control
\jour SIGMA
\yr 2007
\vol 3
\papernumber 050
\totalpages 17
\mathnet{http://mi.mathnet.ru/sigma176}
\crossref{https://doi.org/10.3842/SIGMA.2007.050}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2299851}
\zmath{https://zbmath.org/?q=an:1142.49023}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207065200050}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889234703}
Linking options:
  • https://www.mathnet.ru/eng/sigma176
  • https://www.mathnet.ru/eng/sigma/v3/p50
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:248
    Full-text PDF :54
    References:38
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024