Real and complex polynomial stability and stability domain construction via network realizability theory |
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Authors: | J F DELANSKY N K BOSE |
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Affiliation: | Department of Electrical Engineering , Pennsylvania State University , University Park, PA, 16802, U.S.A. |
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Abstract: | Network realzability theory provides the basis for a unified approach to the stability of a polynomial or a family of polynomials. In this paper conditions are given, in terms of certain decompositions of a given polynomial, that are necessary and sufficient for the given polynomial to be Hurwitz. These conditions facilitate the construction of stability domains for a family of polynomials through the use of linear inequalities. This approach provides a simple interpretation of recent results for polynomials with real coefficients and also leads to the formulation of corresponding results for the case of polynomials with complex coefficients. |
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