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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

The Discrete Frequency Responses of Continuous Linear Systems

Volume 47, Issue 9, 2015, pp. 34-41
DOI: 10.1615/JAutomatInfScien.v47.i9.40
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ABSTRACT

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.

REFERENCES
  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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