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Regular and Chaotic Dynamics, 1998, Volume 3, Issue 3, Pages 161–179
DOI: https://doi.org/10.1070/RD1998v003n03ABEH000087 (Mi rcd955) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On the 70th birthday of J.Moser

Stabilization of relative equilibria II

S. Jalnapurkara, J. E. Marsdenb

a Department of Mathematics, University of California, Berkeley, C A 94720
b Control and Dynamical Systems, California Institute of Technology 107-81, Pasadena , C A 91125
Citations (15)
DOI: https://doi.org/10.1070/RD1998v003n03ABEH000087
Abstract: In this paper, we obtain feedback laws to asymptotically stabilize relative equilibria of mechanical systems with symmetry. We use a notion of stability "modulo the group action" developed by Patrick [1992]. We deal with both internal instability and instability of the rigid motion. The methodology is that of potential shaping, but the system is allowed to be internally underactuated, i.e., have fewer internal actuators than the dimension of the shape space.
Received: 08.11.1998
Bibliographic databases:
Document Type: Article
MSC: 35B40, 58D19, 58F10, 58F22
Language: English
Citation: S. Jalnapurkar, J. E. Marsden, “Stabilization of relative equilibria II”, Regul. Chaotic Dyn., 3:3 (1998), 161–179
Citation in format AMSBIB
\Bibitem{JalMar98}
\by S.~Jalnapurkar, J. E. Marsden
\paper Stabilization of relative equilibria II
\jour Regul. Chaotic Dyn.
\yr 1998
\vol 3
\issue 3
\pages 161--179
\mathnet{http://mi.mathnet.ru/rcd955}
\crossref{https://doi.org/10.1070/RD1998v003n03ABEH000087}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1704976}
\zmath{https://zbmath.org/?q=an:1056.70514}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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