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System theory and mechanics

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Book cover Three Decades of Mathematical System Theory

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 135))

Abstract

This paper discusses a system theoretic approach to mechanics, regarding Hamiltonian systems as conservative "mechanical m-ports". Recent results in the Hamiltonian realization problem are surveyed, and generalizations are being indicated. The potential use for control purposes of the Hamiltonian structure of nonlinear control systems is exemplified.

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Authors and Affiliations

  1. Dept. of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, the Netherlands

    A. J. van der Schaft

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  1. A. J. van der Schaft
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Hendrik Nijmeijer Johannes M. Schumacher

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© 1989 Springer-Verlag

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van der Schaft, A.J. (1989). System theory and mechanics. In: Nijmeijer, H., Schumacher, J.M. (eds) Three Decades of Mathematical System Theory. Lecture Notes in Control and Information Sciences, vol 135. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008472

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  • DOI: https://doi.org/10.1007/BFb0008472

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  • Print ISBN: 978-3-540-51605-7

  • Online ISBN: 978-3-540-46709-0

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