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Output control of the spectrum of a linear dynamic system in terms of the Van der Woude method

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Abstract

An efficient method is developed for the output control of the spectrum of a linear dynamic system given in a state space. The method is developed by extending the Van der Woude approach to multiple-input multiple-output systems and by applying a novel multilevel decomposition based on matrix zero divisors. The method is universal in the sense that, without any modification, it applies to both continuous- and discretetime systems. Under the solvability conditions, the method has no restrictions on the algebraic multiplicity of spectral elements and yields analytical solutions of the regulator synthesis problem.

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Authors and Affiliations

  1. Korolev Rocket and Space Corporation “Energia”, Korolev, Moscow oblast, 141070, Russia

    N. E. Zubov, A. V. Lapin & E. A. Mikrin

  2. Bauman Moscow State Technical University, Moscow, 105005, Russia

    N. E. Zubov & V. N. Ryabchenko

Authors
  1. N. E. Zubov
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  2. A. V. Lapin
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  3. E. A. Mikrin
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  4. V. N. Ryabchenko
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Corresponding author

Correspondence to N. E. Zubov.

Additional information

Original Russian Text © N.E. Zubov, A.V. Lapin, E.A. Mikrin, V.N. Ryabchenko, 2017, published in Doklady Akademii Nauk, 2017, Vol. 476, No. 3, pp. 260–263.

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Zubov, N.E., Lapin, A.V., Mikrin, E.A. et al. Output control of the spectrum of a linear dynamic system in terms of the Van der Woude method. Dokl. Math. 96, 457–460 (2017). https://doi.org/10.1134/S1064562417050179

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  • DOI: https://doi.org/10.1134/S1064562417050179

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