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Inversion of Hyperoutput Time-Delay Systems

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Abstract

The inversion of a linear time-invariant time-delay system is considered. For such systems, a canonical form with isolated zero dynamics is obtained, system invariant zeros are investigated, and their relation to the spectral observability of the zero-dynamics subsystem is described. Based on these results, an inversion algorithm for time-delay systems is suggested.

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Authors and Affiliations

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

    A. V. Il’in & V. V. Fomichev

  2. Faculty of Computational Mathematics and Cybernetics, Moscow State University, 119992, Moscow, Russia

    A. V. Il’in, E. I. Atamas’ & V. V. Fomichev

  3. Center of Information Technologies in Design, Russian Academy of Sciences, 143000, Odintsovo, Moscow oblast, Russia

    A. V. Il’in & V. V. Fomichev

  4. Institute for Systems Analysis, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, Moscow, Russia

    A. V. Il’in & V. V. Fomichev

  5. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, 117997, Moscow, Russia

    V. V. Fomichev

Authors
  1. A. V. Il’in
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  2. E. I. Atamas’
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  3. V. V. Fomichev
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Corresponding authors

Correspondence to A. V. Il’in, E. I. Atamas’ or V. V. Fomichev.

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Translated by I. Ruzanova

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Il’in, A.V., Atamas’, E.I. & Fomichev, V.V. Inversion of Hyperoutput Time-Delay Systems. Dokl. Math. 99, 113–116 (2019). https://doi.org/10.1134/S106456241901023X

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  • DOI: https://doi.org/10.1134/S106456241901023X

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