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Spectrum control problem for strongly irregular periodic vibrations of linear systems with zero mean of the coefficient matrix

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Abstract

We consider a linear periodic control system with zero mean of the coefficient matrix and with linear state feedback control periodic with the same period. We obtain necessary and sufficient conditions for the solvability of the frequency spectrum control problem with a given goal set for strongly irregular periodic vibrations. In this problem, one should find a feedback coefficient such that the closed system has a strongly irregular periodic solution with the desired frequencies.

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Authors and Affiliations

  1. Institute for Mathematics, National Academy of Sciences, Minsk, Belarus

    A. K. Demenchuk

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  1. A. K. Demenchuk
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Original Russian Text © A.K. Demenchuk, 2010, published in Differentsial’nye Uravneniya, 2010, Vol. 46, No. 10, pp. 1381–1387.

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Demenchuk, A.K. Spectrum control problem for strongly irregular periodic vibrations of linear systems with zero mean of the coefficient matrix. Diff Equat 46, 1389–1394 (2010). https://doi.org/10.1134/S0012266110100022

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  • DOI: https://doi.org/10.1134/S0012266110100022

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