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Zero structures at infinity of linear periodic systems

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Abstract

The zero structure at infinity of a linear periodic system can be studied following two different approaches. One is based on the Periodic Invariant Subspace Algorithm and it gives rise to the notion of periodic structure at infinity. The second is based on the representation of a periodic system by means of a family of stationary systems and it allows the definition of a notion of zero structure. In this paper these two approaches are described and analysed in order to compare the structural information contained in the sets of invariants that they define. As a result we have that the zero structure can be derived by the periodic structure.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Genova, via L.B. Alberti 4, 16132, Genova, Italy

    G. Conte

  2. Dipartimento di Metodi Modelli Matematici, Università di Padova, via G. Belzoni 7, 35100, Padova, Italy

    A. M. Perdon

  3. Dipartimento di Elettr. Autom., Università di Ancona, via Brecce Bianche, 60131, Ancona, Italy

    S. Longhi

Authors
  1. G. Conte
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  2. A. M. Perdon
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  3. S. Longhi
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Conte, G., Perdon, A.M. & Longhi, S. Zero structures at infinity of linear periodic systems. Circuits Systems and Signal Process 10, 91–100 (1991). https://doi.org/10.1007/BF01183242

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  • DOI: https://doi.org/10.1007/BF01183242

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