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2002•IEEJ Transactions on Electronics Information and SystemsOpen access

On Shifted Hurwitz Stability of Real Polynomials

Takehiro Mori, Hideki Kokame

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Abstract

Shifted Hurwitz stability has been one of traditional means to specify control performances. Still, its conditions have thus far scarcely come to the fore in studies of control systems analysis, in large part because they would be regarded as direct corollaries of the “shiftless” Hurwitz stability criteria. This note examines them afresh and presents new conditions and a characterization for the shifted Hurwitz property. The results obtained possess some advantages over those derived simply by shifting the Hurwitz stability conditions.

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Shifted Hurwitz stability has been one of traditional means to specify control performances. Still, its conditions have thus far scarcely come to the fore in studies of control systems analysis, in large part because they would be regarded as direct corollaries of the “shiftless” Hurwitz stability criteria. This note examines them afresh and presents new conditions and a characterization for the shifted Hurwitz property. The results obtained possess some advantages over those derived simply by shifting the Hurwitz stability conditions.

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Available abstract

Shifted Hurwitz stability has been one of traditional means to specify control performances. Still, its conditions have thus far scarcely come to the fore in studies of control systems analysis, in large part because they would be regarded as direct corollaries of the “shiftless” Hurwitz stability criteria. This note examines them afresh and presents new conditions and a characterization for the shifted Hurwitz property. The results obtained possess some advantages over those derived simply by shifting the Hurwitz stability conditions.

Key concepts: Routh–Hurwitz stability criterion, Hurwitz polynomial, Hurwitz matrix, Stability (learning theory), Property (philosophy), Mathematics, Pure mathematics, Complex quadratic polynomial

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