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Spectral reducibility of delay differential systems by a dynamic controller

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Abstract

For linear autonomous differential-difference systems with commensurate delays, we constructively prove new conditions for spectral reducibility. A dynamic differential-difference controller reducing a delay system to a systemwith finite spectrum is constructed. The case of a system with a single delay is considered in detail. The results are illustrated by examples.

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  1. Belarus State Technical University, Minsk, Belarus

    A. V. Metel’skii

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  1. A. V. Metel’skii
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Original Russian Text © A.V. Metel’skii, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 11, pp. 1621–1637.

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Metel’skii, A.V. Spectral reducibility of delay differential systems by a dynamic controller. Diff Equat 47, 1642–1659 (2011). https://doi.org/10.1134/S0012266111110115

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