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Consistency and eigenvalue assignment for discrete-time bilinear systems: II

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Abstract

We obtain new necessary and sufficient conditions for the consistency of discrete-time time-independent linear control systems with incomplete feedback and bilinear systems. We find a relationship between the consistency of time-independent systems and the eigenvalue assignment problem. We show that consistency is sufficient and, in certain cases, necessary condition for the arbitrary assignability of the eigenvalues for discrete-time systems with coefficients of special form.

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Authors and Affiliations

  1. Udmurt State University, Izhevsk, Russia

    V. A. Zaitsev

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  1. V. A. Zaitsev
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Correspondence to V. A. Zaitsev.

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Original Russian Text © V.A. Zaitsev, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 4, pp. 502–513.

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Zaitsev, V.A. Consistency and eigenvalue assignment for discrete-time bilinear systems: II. Diff Equat 51, 510–522 (2015). https://doi.org/10.1134/S0012266115040084

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  • DOI: https://doi.org/10.1134/S0012266115040084

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