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Infinite zero module and infinite pole module

  • Session 6 Linear Systems I
  • Conference paper
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Analysis and Optimization of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 62))

Abstract

In this paper we introduce the notion of infinite zero module Z(G) and infinite pole module P(G) associated with a transfer function G(z). We show that Z(G) and P(G) describe the zero/pole structure at infinity of G(z) and we investigate their dynamical and system theoretic properties. Finally, we apply these concepts to the study of the inverses of G(z).

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References

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A. Bensoussan J. L. Lions

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© 1984 Springer-Verlag

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Conte, G., Perdon, A. (1984). Infinite zero module and infinite pole module. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004962

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  • DOI: https://doi.org/10.1007/BFb0004962

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13551-7

  • Online ISBN: 978-3-540-39007-7

  • eBook Packages: Springer Book Archive

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