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On the nonlinear equivalent of the notion of transmission zeros

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Modelling and Adaptive Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 105))

Abstract

The purpose of this paper is to show that three possible characterizations of the notion of "transmission zero", namely "pole" of the inverse system, zero-output-constrained dynamics and unobservable dynamics under certain state-feedback, which are equivalent for any invertible linear system, may have different analogues for nonlinear input-affine systems. It is also shown that some nonlinear versions of the so-called structure algorithm, proposed by Hirschorn and Singh, may be successfully used in this framework.

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Christopher Ian Byrnes Alexander B. Kurzhanski

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© 1988 Springer-Verlag

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Isidori, A., Moog, C.H. (1988). On the nonlinear equivalent of the notion of transmission zeros. In: Byrnes, C.I., Kurzhanski, A.B. (eds) Modelling and Adaptive Control. Lecture Notes in Control and Information Sciences, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043181

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  • DOI: https://doi.org/10.1007/BFb0043181

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19019-6

  • Online ISBN: 978-3-540-38904-0

  • eBook Packages: Springer Book Archive

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