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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23.6 References
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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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Online ISBN: 978-3-540-36106-0
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