Schur stability and stability domain construction |
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Authors: | J F Delansky N K Bose |
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Affiliation: | Department of Electrical Engineering, Spatial and Temporal Signal Processing Center , The Pennsylvania State University , University Park, PA, 16802, U.S.A |
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Abstract: | A discrete version of Foster's reactance theorem is developed and, subsequently, used to delineate necessary and sufficient conditions for a given polynomial with complex or real coefficients to be of the Schur type. These conditions, obtained from the decomposition of a polynomial into its circularly symmetric and anti-circularly symmetric components, facilitate the construction of stability domains for a family of polynomials through the use of linear inequalities. These results provide the complete discrete counterpart of recent results for a family of polynomials which are required to be tested for the Hurwitz property. |
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