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Finite Spectrum Assignment for Completely Regular Differential-Algebraic Systems with Aftereffect

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Abstract

For linear autonomous completely regular differential-algebraic systems with commensurable delays in the state and control, we study the problem of constructing a state feedback that ensures a finite spectrum for the closed-loop system. We propose criteria for spectral reducibility and weak spectral reducibility whose proofs contain the synthesis schemes of appropriate controllers. Several illustrative examples are given.

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Authors and Affiliations

  1. Yanka Kupala State University of Grodno, Grodno, 230023, Belarus

    V. E. Khartovskii

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  1. V. E. Khartovskii
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Correspondence to V. E. Khartovskii.

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Original Russian Text © V.E. Khartovskii, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 6, pp. 827–841.

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Khartovskii, V.E. Finite Spectrum Assignment for Completely Regular Differential-Algebraic Systems with Aftereffect. Diff Equat 54, 823–838 (2018). https://doi.org/10.1134/S0012266118060113

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  • DOI: https://doi.org/10.1134/S0012266118060113

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