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Distance of a complex coefficient stable polynomial from the boundary of the stability set

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Abstract

In this paper, the distance in the 1 ≤ 2p ≤ ∞ norm from a complex coefficient polynomial to the border of its Hurwitz region is analyzed. Simplified expressions for 2p=1, 2, ∞ are also obtained.

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Authors and Affiliations

  1. Universidad Nacional del Sur, Av. Alem 1253, 8000, Bahia Blanca, Argentina

    Alfredo C. Desages, Liliana Castro & Hernán Cendra

Authors
  1. Alfredo C. Desages
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  2. Liliana Castro
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  3. Hernán Cendra
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Additional information

This work was supported in part by Comisión Investigaciones Cientificas de la Provincia de Buenos Aires (CIC) and Comisión Nacional de Investigaciones Cientificas y Técnicas (CONICET).

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Desages, A.C., Castro, L. & Cendra, H. Distance of a complex coefficient stable polynomial from the boundary of the stability set. Multidim Syst Sign Process 2, 189–210 (1991). https://doi.org/10.1007/BF01938223

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  • DOI: https://doi.org/10.1007/BF01938223

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