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On properties of pointwise degenerate linear autonomous control systems. I

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Abstract

Consideration was given to the pointwise degenerate control systems and the problem of full controllability of the linear autonomous system. A procedure was proposed to close this system by a delay controller such that the closed-loop system becomes pointwise degenerate along the directions corresponding to the phase variables of the initial system. At that, the roots of the characteristic polynomial of the closed-loop system can be taken negative, that is, the closed-loop system turns out to be asymptotically stable.

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Authors and Affiliations

  1. Belarussian National Technical University, Minsk, Belarus

    A. V. Metel’skii & V. V. Karpuk

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  1. A. V. Metel’skii
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  2. V. V. Karpuk
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Original Russian Text © A.V. Metel’skii, V.V. Karpuk, 2009, published in Avtomatika i Telemekhanika, 2009, No. 10, pp. 22–34.

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Metel’skii, A.V., Karpuk, V.V. On properties of pointwise degenerate linear autonomous control systems. I. Autom Remote Control 70, 1613–1625 (2009). https://doi.org/10.1134/S0005117909100038

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