Infinite zero module and infinite pole module

  • G. Conte
  • A. Perdon
Session 6 Linear Systems I
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 62)


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).


Transfer Function Proper Part Minimal Realization Zero Structure Polynomial Part 
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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • G. Conte
    • 1
  • A. Perdon
    • 2
  1. 1.Ist. Mat. Univ. GenovaGenovaItaly
  2. 2.Ist. Mat. Appl. Univ. PadovaPadovaItaly

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