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Transformation of Hyperoutput Systems to a Form with Relative Degree

  • CONTROL THEORY
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Abstract

We consider the problem of transforming a hyperoutput linear control system to a form with relative degree using a nonsingular change of outputs. For square systems this problem is solved by introducing generalizations of relative degree. Likewise, the present paper extends various generalizations of relative degree to the case of hyperoutput systems and uses these generalizations to introduce a class of systems for which the stated problem can be solved.

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Notes

  1. Here and in the following we assume that the degree of the zero polynomial is \(-1\) by definition.

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Funding

This work was carried out within the framework of the trend of research by the Moscow Center for Fundamental and Applied Mathematics and supported by the Russian Foundation for Basic Research (projects nos. 18-07-00540 and 20-57-00001 Bel_a).

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Authors and Affiliations

  1. Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, China

    V. V. Fomichev

  2. Lomonosov Moscow State University, Moscow, 119991, Russia

    V. V. Fomichev, A. V. Kraev & A. I. Rogovskiy

  3. Institute for Systems Analysis, Russian Academy of Sciences, Moscow, 117312, Russia

    V. V. Fomichev

Authors
  1. V. V. Fomichev
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  2. A. V. Kraev
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  3. A. I. Rogovskiy
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Corresponding authors

Correspondence to V. V. Fomichev, A. V. Kraev or A. I. Rogovskiy.

Additional information

Translated by V. Potapchouck

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Fomichev, V.V., Kraev, A.V. & Rogovskiy, A.I. Transformation of Hyperoutput Systems to a Form with Relative Degree. Diff Equat 56, 1472–1484 (2020). https://doi.org/10.1134/S00122661200110087

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  • DOI: https://doi.org/10.1134/S00122661200110087

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