Robust strictly positive real synthesis for the fourth-order convex combinations

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Robust strictly positive real synthesis for the fourth-order convex combinations

WS Yu-2001-01-01

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TL;DRAbstract

For the two fourth-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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For the two fourth-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.

Keywords

MathematicsHurwitz polynomialOrder (exchange)Regular polygonPolynomialStability (learning theory)CombinatoricsRouth–Hurwitz stability criterion

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