Direct bilinear Routh stability criteria for discrete systems

DOI10.1016/S0167-6911(84)80036-5zbMath0546.93060MaRDI QIDQ798607

Yuval Bistritz

Publication date: 1984

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

continued fraction expansionsbilinear transformationdiscrete tangent functionRouth conditions

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20) Transformations (93B17) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Continued fractions; complex-analytic aspects (30B70)

Related Items (5)

A stability test for continuous systems ⋮ Common setting for some classical z-domain algorithms in linear system theory ⋮ A geometrical interpretation of the Routh test ⋮ Efficient split algorithms for continuous-time and discrete-time systems ⋮ Losslessness and stability of LDI ladders and filters

Cites Work

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• On the stability of the<tex>A</tex>matrix inside the unit circle
• Some new results on discrete system stability
• Zero location of polynomials with respect to the unit-circle unhampered by nonessential singularities

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