A geometrical interpretation of the Routh test

DOI10.1016/0016-0032(88)90003-8zbMath0671.93049OpenAlexW1993312608MaRDI QIDQ1119529

Umberto Viaro, Gian Antonio Mian, Antonio Lepschy

Publication date: 1988

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(88)90003-8

zbMATH Keywords

root locus techniquecontinuous-timeadditive polynomial decompositionsgeometrical proof of the classical Routh testpolynomial zero clustering

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Input-output approaches in control theory (93D25) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (3)

Elementary proof of the Routh-Hurwitz test ⋮ Efficient split algorithms for continuous-time and discrete-time systems ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4997829 �ber die Anzahl der Wurzeln einer algebraischen Gleichung in einem Kreise]

Cites Work

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• Direct bilinear Routh stability criteria for discrete systems
• Padé techniques for model reduction in linear system theory: a survey
• System approximation by matching the impulse response energies
• A stability test for continuous systems
• Technique fixation and the Routh-Hurwitz criterion
• Invariance of the strict Hurwitz property for polynomials with perturbed coefficients
• A new general Routh-like algorithm to determine the number of RHP roots of a real or complex polynomial
• Stability preservation and computational aspects of a newly proposed reduction method
• Routh-Hurwitz test under vanishing leading array elements
• Routh’s Algorithm: A Centennial Survey
• A note on the Routh-Hurwitz criterion
• The negative Routh test and its application to the cases of vanishing leading elements and imaginary roots

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