Some considerations on non-minimality, ill-conditioning, and instability of Padé approximants

DOI10.1080/00207728308926484zbMath0508.93010OpenAlexW2036288981MaRDI QIDQ4747979

Umberto Viaro, Antonio Lepschy

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00207728308926484

zbMATH Keywords

instabilitymodel reductionill-conditioningnon-minimalitysystem simplification

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Minimal systems representations (93B20) Transformations (93B17) Padé approximation (41A21) Model systems in control theory (93C99)

Related Items (4)

System approximation by matching the impulse response energies ⋮ The least-squares Padé method for model simplification of multivariable systems ⋮ Digital controller design for systems with transport lag ⋮ Model reduction for control systems with restricted complexity controllers

Cites Work

• Unnamed Item
• Stable reduced-order models using Padé-type approximations
• Routh approximations for reducing order of linear, time-invariant systems
• Extensions of the Pade-approximant technique for the design of recursive digital filters

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