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Damping of a solution of linear autonomous difference-differential systems with many delays using feedback

  • Control in Deterministic Systems
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Abstract

For linear autonomous difference-differential systems with commensurable delays, the problem of damping the solution by using a linear difference-differential controller with a state feedback is solved. A generalization of these results to linear autonomous difference-differential systems of neutral type with commensurable delays in the case of a continuous solution is proposed. A distinctive feature of the present work is that the initial system is not completely controllable.

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Authors and Affiliations

  1. Belarusian National Technical University, pr. Nezavisimosti 65, Minsk, 220013, Belarus

    A. V. Metel’skii

  2. Kupala State University, Grodno, ul. Ozheshko 22, Grodno, 230023, Belarus

    O. I. Urban & V. E. Khartovskii

Authors
  1. A. V. Metel’skii
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  2. O. I. Urban
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  3. V. E. Khartovskii
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Corresponding author

Correspondence to A. V. Metel’skii.

Additional information

Original Russian Text © A.V. Metel’skii, O.I. Urban, V.E. Khartovskii, 2015, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2015, No. 2, pp. 40–49.

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Metel’skii, A.V., Urban, O.I. & Khartovskii, V.E. Damping of a solution of linear autonomous difference-differential systems with many delays using feedback. J. Comput. Syst. Sci. Int. 54, 202–211 (2015). https://doi.org/10.1134/S1064230715020100

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  • DOI: https://doi.org/10.1134/S1064230715020100

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