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Symmetries, Conservation Laws, and Control

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Geometry, Mechanics, and Dynamics

Abstract

In this paper we describe various aspects of Jerry Marsden’s work and influence on control theory and its connections with mechanics. In particular we trace the role of his key ideas on reduction and symmetries in the setting of nonlinear control.

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Authors
  1. Anthony M. Bloch
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  2. Naomi Ehrich Leonard
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Editor information

Editors and Affiliations

  1. Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA, 90089-1191, USA

    Paul Newton

  2. Department of Mathematics, University of Southern California, Los Angeles, CA, 90089-1191, USA

    Paul Newton

  3. Department of Applied and Computational Mathematics Engineering Quadrangle, Princeton University, Princeton, NJ, 08544-1000, USA

    Philip Holmes

  4. Department of Mathematics, University of California, Berkeley, Berkeley, CA, 94720, USA

    Alan Weinstein

Additional information

To Jerry Marsden on the occasion of his 60th birthday

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© 2002 Springer-Verlag New York, Inc.

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Bloch, A.M., Leonard, N.E. (2002). Symmetries, Conservation Laws, and Control. In: Newton, P., Holmes, P., Weinstein, A. (eds) Geometry, Mechanics, and Dynamics. Springer, New York, NY. https://doi.org/10.1007/0-387-21791-6_14

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  • DOI: https://doi.org/10.1007/0-387-21791-6_14

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-95518-6

  • Online ISBN: 978-0-387-21791-8

  • eBook Packages: Springer Book Archive

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