Robust Strictly Positive Real Synthesis for Polynomial Families of Arbitrary Order

2002/11/01 by Long Wang, Wang, Long
Computer Science · Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #Polynomial and algebraic computation #Stability and Control of Uncertain Systems #math.DS #math.OC #msc:93D15

paper · pdf · doi:10.48550/arxiv.math/0211012

arxiv created 2002/11/01 · arxiv updated 2009/11/30

Abstract

For any two n-th order polynomials a(s) and b(s), the Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial c(s) such that c(s)/a(s) and c(s)/b(s) are both strictly positive real.

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