Simplification of thez-transfer function via Padé approximation of the squared-magnitude function

DOI10.1080/00207728608926796zbMath0581.93015OpenAlexW2059134341MaRDI QIDQ3705279

Hungchan Chow, Hwang, Chyi

Publication date: 1986

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728608926796

zbMATH Keywords

Padé approximationbilinear transformationsimplification of z- transfer functionssquared-magnitude function

Mathematics Subject Classification ID

Transformations (93B17) Padé approximation (41A21) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Stability of control systems (93D99)

Related Items (3)

Stable simplification of z-transfer functions by squared magnitude continued-fraction expansion ⋮ Tangent-phase continued-fraction expansion for stable reduced models of linear discrete-time systems ⋮ Order reduction of z-transfer functions via multipoint Jordan continued- fraction expansion

Cites Work

• Unnamed Item
• Reduction of transfer functions by the stability-equation method
• A simple algorithm to perform the bilinear transformation
• Contributions to the model reduction problem
• Routh approximations for reducing order of linear, time-invariant systems
• A squared magnitude continued fraction expansion for stable reduced models
• Linear model reduction using Hurwitz polynomial approximation
• Simplification ofz-transfer functions by continued fractions †

This page was built for publication: Simplification of thez-transfer function via Padé approximation of the squared-magnitude function