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On the Additive D-Stability of Matrices on the Basis of the Kharitonov Criterion

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Abstract

On the basis of the Kharitonov theorem, sufficient conditions on an \((n \times n)\) matrix A are presented for the matrix \(A - D{\text{ }}(D = {\text{ diag}}(d_1 ,d_2 ,...,d_n ))\) to be stable for arbitrary \(d_i \geqslant 0\), \(i = 1,...,n\).

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Authors and Affiliations

  1. G. V. Karpenko Physical-Mechanical Institute, National Academy of Sciences of Ukraine, Ukraine

    I. M. Romanishin

  2. I. Franko Lvov State University, Ukraine

    L. A. Sinitskii

Authors
  1. I. M. Romanishin
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  2. L. A. Sinitskii
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Romanishin, I.M., Sinitskii, L.A. On the Additive D-Stability of Matrices on the Basis of the Kharitonov Criterion. Mathematical Notes 72, 237–240 (2002). https://doi.org/10.1023/A:1019854129471

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  • DOI: https://doi.org/10.1023/A:1019854129471

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