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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v47.i9.40
pages 34-41

The Discrete Frequency Responses of Continuous Linear Systems

Nikolay A. Balonin
Saint-Petersburg State University of Aerospace Instrumentation (Russia)
Victor S. Suzdal
Institute for Scintillation Materials of National Academy of Sciences of Ukraine, Kharkov
Alexander V. Sobolev
Institute for Scintillation Materials of National Academy of Sciences of Ukraine, Kharkov

RÉSUMÉ

One aspect of linear dynamical system theory with the study of the spectral responses of the convolution operator on a finite time interval is considered. The practical significance of the result is that singular functions of the convolution operator have extreme properties and may be useful for solving optimal control problems.

RÉFÉRENCES

  1. Balonin N.A. , Computer methods for analysis of linear dynamical systems: the Thesis of the doctor of technical sciences [in Russian].

  2. Balonin N.A., Mironovsky L.A. , Spectral characteristics of linear systems in a limited time interval.

  3. Glover K. , All optimal Hankel-norm approximations of linear multivariable systems and their L-error bounds.

  4. Balonin N.A., Mironovsky L.A. , Flip method for determining singular functions of the Hankel operator and convolution operator.

  5. Balonin N.A. , Singular functions of linear dynamical systems.

  6. Balonin N.A. , Linear operators of a dynamical system.

  7. Balonin N.A. , Finite time interval dynamical system.

  8. Balonin N.A., Suzdal V.S. , Emulator of the Czochralski system.


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