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New Integrability Conditions for Classifying Holonomic and Nonholonomic Systems

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Directions in Mathematical Systems Theory and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 286))

Abstract

This paper presents new integrability conditions for classifying holonomic and nonholonomic systems using the Frobenius Theorem in differential forms. Some of the previous results in the literature give sufficient conditions only. The results in this paper give necessary and sufficient conditions. The contribution of this paper is that it shows a new application of the Frobenius Theorem in differential forms for solving an integrability condition problem in systems and control area.

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Author information

Authors and Affiliations

  1. Washington University, Campus Box 1040, St.Louis, MO, 63130-4899, USA

    Tzyh-Jong Tarn & Mingjun Zhang

  2. 412 Dreese Laboratory Department of Electrical Engineering, The Ohio State University, 2015 Neil Avenue, Columbus, OH, 43210, USA

    Andrea Serrani

Authors
  1. Tzyh-Jong Tarn
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  2. Mingjun Zhang
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  3. Andrea Serrani
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Editor information

Editors and Affiliations

  1. Department of Automatic Control, Lund Institute of Technology, Box 118, SE-221 00, Lund, Sweden

    Anders Rantzer

  2. School of Engineering and Applied Science, Washington University, One Brookings Drive, St. Louis, MO, 63130, USA

    Christopher I. Byrnes

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© 2003 Springer-Verlag Berlin Heidelberg

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Tarn, TJ., Zhang, M., Serrani, A. (2003). New Integrability Conditions for Classifying Holonomic and Nonholonomic Systems. In: Rantzer, A., Byrnes, C.I. (eds) Directions in Mathematical Systems Theory and Optimization. Lecture Notes in Control and Information Sciences, vol 286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36106-5_23

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  • DOI: https://doi.org/10.1007/3-540-36106-5_23

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00065-5

  • Online ISBN: 978-3-540-36106-0

  • eBook Packages: Springer Book Archive

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