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Sufficient conditions for invertibility of linear stationary systems

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Abstract

Sufficient conditions for the invertibility of linear stationary dynamical systems are formulated. It is shown that the a priori information that the input signal is bounded substantially expands the class of systems for which the inversion problem is solvable.

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Authors and Affiliations

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

    A. V. Il’in

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

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

  3. Center of Information Technologies in Design, Russian Academy of Sciences, ul. Marshala Biryuzova 7a, Odintsovo, Moscow oblast, 143000, Russia

    V. V. Fomichev

  4. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Profsoyuznaya ul. 65, Moscow, 117997, 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 author

Correspondence to A. V. Il’in.

Additional information

Original Russian Text © A.V. Il’in, E.I. Atamas’, V.V. Fomichev, 2016, published in Doklady Akademii Nauk, 2016, Vol. 466, No. 5, pp. 533–535.

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Il’in, A.V., Atamas’, E.I. & Fomichev, V.V. Sufficient conditions for invertibility of linear stationary systems. Dokl. Math. 93, 124–126 (2016). https://doi.org/10.1134/S1064562416010245

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  • DOI: https://doi.org/10.1134/S1064562416010245

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