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Solution damping controllers for linear systems of the neutral type

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Abstract

For linear autonomous systems of the neutral type with commensurable delays in the state and control, we solve the problem of solution damping by a state feedback controller. In this case, the closed-loop system becomes a system of the neutral type with a finite spectrum. The present research is characterized by the fact that the original system does not necessarily have the property of complete controllability.

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Authors and Affiliations

  1. Belarus National Technical University, Minsk, Belarus

    A. V. Metel’skii, V. E. Khartovskii & O. I. Urban

  2. Grodno State University, Grodno, Belarus

    A. V. Metel’skii, V. E. Khartovskii & O. I. Urban

Authors
  1. A. V. Metel’skii
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  2. V. E. Khartovskii
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  3. O. I. Urban
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Correspondence to A. V. Metel’skii.

Additional information

Original Russian Text © A.V. Metel’skii, V.E. Khartovskii, O.I. Urban, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 3, pp. 391–403.

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Metel’skii, A.V., Khartovskii, V.E. & Urban, O.I. Solution damping controllers for linear systems of the neutral type. Diff Equat 52, 386–399 (2016). https://doi.org/10.1134/S0012266116030125

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