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Finite spectrum assignment problem for a delay type system

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Abstract

For a spectrally controlled linear time-invariant delay system with commensurable delays, we construct a static state feedback ensuring an arbitrary finite spectrum of the closedloop system. By an appropriate choice of the spectrum, one can make the closed-loop system asymptotically stable. The results are illustrated by examples.

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Correspondence to A. V. Metel’skii.

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Original Russian Text © A.V. Metel’skii, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 5, pp. 692–701.

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Metel’skii, A.V. Finite spectrum assignment problem for a delay type system. Diff Equat 50, 689–699 (2014). https://doi.org/10.1134/S0012266114050115

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