Stable reduction of linear discrete-time systems via multipoint squared-magnitude CFE

DOI10.1080/00207728808547176zbMath0651.93043OpenAlexW2018000692MaRDI QIDQ3797047

Muhyang Chen, Hwang, Chyi

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00207728808547176

zbMATH Keywords

stabilitylinear discrete-time systemminimum-phase characteristicsfrequency and time responsesmultipoint continued-fraction expansionz- transfer function

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Transformations (93B17) Continued fractions; complex-analytic aspects (30B70)

Cites Work

• A direct method for model reduction of discrete systems
• Modelling of linear discrete-time systems using modified Cauer continued fraction
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• Reduction of transfer functions by the stability-equation method
• A multipoint continued-fraction expansion for linear system reduction
• Reduced-order modelling of linear discrete-time systems via continued-fraction expansion of a z transfer function about z = 1 and z = a alternately
• Routh Approximations for Reducing Order of Discrete Systems
• A squared magnitude continued fraction expansion for stable reduced models
• Reduction of discrete time systems using a modified Routh array
• Continued fraction methods for the reduction of discrete-time dynamic systems
• Simplification ofz-transfer functions by continued fractions †