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Robust Stability of Multivariate Polynomials. Part 1: Small Coefficient Perturbations

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Abstract

This paper presents a detailed analysis of some classes of stable multivariate polynomials. The main aim of the analysis is to give conditions under which polynomials preserve stability when they are subjected to small coefficient variations. The maximal class of such polynomials is introduced. Some basic properties of polynomials from this class are obtained.

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Authors and Affiliations

  1. CINVESTAV-IPN, Automatic Control Section, P.O. Box 14-740, 07300, Mexico, D.F, Mexico

    V. L. Kharitonov & J. A. Torres Muñoz

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  1. V. L. Kharitonov
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  2. J. A. Torres Muñoz
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Kharitonov, V.L., Muñoz, J.A.T. Robust Stability of Multivariate Polynomials. Part 1: Small Coefficient Perturbations. Multidimensional Systems and Signal Processing 10, 7–20 (1999). https://doi.org/10.1023/A:1008456918178

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