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Part of the book series: Mathematics and Its Applications ((MAIA,volume 29))

Abstract

In this paper we review some results concerning the local controllability of nonlinear control systems. We stress those results which are most closely related to the existence of certain symmetries, including results by the authors and H. J. Sussmann. We also comment on the relation between this work and generalizations of Lie group theory to semigroups and Lie wedges.

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© 1986 D. Reidel Publishing Company

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Crouch, P.E., Byrnes, C.I. (1986). Symmetries and Local Controllability. In: Fliess, M., Hazewinkel, M. (eds) Algebraic and Geometric Methods in Nonlinear Control Theory. Mathematics and Its Applications, vol 29. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4706-1_4

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  • DOI: https://doi.org/10.1007/978-94-009-4706-1_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8593-9

  • Online ISBN: 978-94-009-4706-1

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