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Inverse spectral problems of the theory of identification of linear dynamic systems

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Abstract

The problem of restoration of the parameters of the linear operator from a finite set of eigenvalues was considered. A new scheme of its solution was proposed, both the necessary and sufficient conditions for existence of solutions were presented, and a procedure of their numerical construction was substantiated. Consideration was given to the applied problems of identification and controllability of the linear dynamic systems.

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Authors and Affiliations

  1. Bashkir State University, Ufa, Russia

    N. F. Valeev & M. G. Yumagulov

Authors
  1. N. F. Valeev
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  2. M. G. Yumagulov
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Original Russian Text © N.F. Valeev, M.G. Yumagulov, 2009, published in Avtomatika i Telemekhanika, 2009, No. 11, pp. 13–20.

This work was supported by the Russian Foundation for Basic Research, projects nos. 08-01-97020 and 06-01-72552.

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Valeev, N.F., Yumagulov, M.G. Inverse spectral problems of the theory of identification of linear dynamic systems. Autom Remote Control 70, 1776–1782 (2009). https://doi.org/10.1134/S0005117909110022

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  • DOI: https://doi.org/10.1134/S0005117909110022

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