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Input-Output Decoupling of Hamiltonian Systems: The Nonlinear Case

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Analysis and Optimization of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 83))

Abstract

In this paper we give necessary and sufficient conditions for a nonlinear Hamiltonian system to be locally input-output decouplable by Hamiltonian feedback, i.e. feedback that preserves the Hamiltonian structure. These results extend the theory developed in an earlier paper for linear Hamiltonian systems.

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References

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Author information

Authors and Affiliations

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

    H. Nijmeijer & A. J. van der Schaft

Authors
  1. H. Nijmeijer
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  2. A. J. van der Schaft
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Editor information

Editors and Affiliations

  1. Institut National de Recherche en Informatique et en Automatique, INRIA, Domaine de Voluceau, Rocquencourt, B.P. 105, 78153, Le Chesnay, France

    A. Bensoussan  & J. L. Lions  & 

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© 1986 Springer Science+Business Media Dordrecht

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Nijmeijer, H., van der Schaft, A.J. (1986). Input-Output Decoupling of Hamiltonian Systems: The Nonlinear Case. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007567

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  • DOI: https://doi.org/10.1007/BFb0007567

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16729-7

  • Online ISBN: 978-3-540-39856-1

  • eBook Packages: Springer Book Archive

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