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Optimum Radius of Robust Stability for Schur Polynomials

Author

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  • N. E. Mastorakis

    (Hellenic Naval Academy, Chair of Computer Science, Terma Hatzikyriakou)

Abstract

The paper investigates the problem of the robust stability of Schur polynomials. Recently, a new approach based on the Rouche theorem of classical complex analysis has been adopted for the solution of this problem. In this paper, an improvement of the previous solution is presented. This is the optimum solution of the robust stability problem for Schur polynomials, which is obtained by solving a minimization problem and is better than other methods in robust stability literature. Three numerical examples are given to illustrate the proposed method.

Suggested Citation

  • N. E. Mastorakis, 2000. "Optimum Radius of Robust Stability for Schur Polynomials," Journal of Optimization Theory and Applications, Springer, vol. 104(1), pages 165-174, January.
    • Handle: RePEc:spr:joptap:v:104:y:2000:i:1:d:10.1023_a:1004684907724
    DOI: 10.1023/A:1004684907724
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    References listed on IDEAS

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    1. N. E. Mastorakis, 1997. "Robust Stability of Polynomials: New Approach," Journal of Optimization Theory and Applications, Springer, vol. 93(3), pages 635-638, June.
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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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