Abstract
In this paper, we find necessary and sufficient conditions for the stability of a family of annular, complex polynomials with the possibility of including a center polynomial. The proposed results can be modified to solve the disk problem by simply equating the inner radius of the annuli to zero. These results have applications in the communications arena and some signal processing problems.
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Pérez, F., Docampo, D. & Abdallah, C. Robust stability of complex polynomials with annular uncertainties. Multidim Syst Sign Process 5, 203–215 (1994). https://doi.org/10.1007/BF00986978
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DOI: https://doi.org/10.1007/BF00986978