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Stabilizability of Discrete Systems over Rings

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Abstract

Linear nonautonomous discrete single-input systems in K n, where K is a ring with unit, are studied. Total controllability is defined and every totally controllable system is shown to be representable in canonical form (i.e., as an nth-order scalar equation with coefficients in K). Therefore, every totally controllable system is stabilizable in the sense that all solutions vanish for some linear feedback, beginning from a finite instant.

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

    I. V. Gaishun

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  1. I. V. Gaishun
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Gaishun, I.V. Stabilizability of Discrete Systems over Rings. Automation and Remote Control 63, 367–374 (2002). https://doi.org/10.1023/A:1014790014777

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