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Improved Optimum Radius for Robust Stability of Schur Polynomials

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  • Younseok Choo

    (Hongik University)

Abstract

An approach based on the Rouché theorem was introduced in the literature to compute the optimum radius for robust stability of Schur polynomials. Later an attempt was made to improve the result, but it was shown to be incorrect. The purpose of this note is to show that an improved optimum radius still can be obtained by modifying the proposed method. The result of this note can be easily extended to the multidimensional cases.

Suggested Citation

  • Younseok Choo, 2014. "Improved Optimum Radius for Robust Stability of Schur Polynomials," Journal of Optimization Theory and Applications, Springer, vol. 161(2), pages 553-556, May.
    • Handle: RePEc:spr:joptap:v:161:y:2014:i:2:d:10.1007_s10957-013-0419-0
    DOI: 10.1007/s10957-013-0419-0
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    References listed on IDEAS

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    1. L.X. Gao & Y.X. Sun, 2002. "On the Optimum Radius of Robust Stability for Schur Polynomials," Journal of Optimization Theory and Applications, Springer, vol. 114(2), pages 471-475, August.
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    Cited by:

    1. Goberna, M.A. & Jeyakumar, V. & Li, G. & Vicente-Pérez, J., 2022. "The radius of robust feasibility of uncertain mathematical programs: A Survey and recent developments," European Journal of Operational Research, Elsevier, vol. 296(3), pages 749-763.

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    1. Goberna, M.A. & Jeyakumar, V. & Li, G. & Vicente-Pérez, J., 2022. "The radius of robust feasibility of uncertain mathematical programs: A Survey and recent developments," European Journal of Operational Research, Elsevier, vol. 296(3), pages 749-763.

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    Keywords

    Robust stability; Schur polynomial;

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