A discrete stability equation theorem and method of stable model reduction

DOI10.1016/S0167-6911(82)80049-2zbMath0483.93013MaRDI QIDQ1163495

Yuval Bistritz

Publication date: 1982

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

zbMATH Keywords

frequency-domainstability criteriareduced-order modellingPade-type methods

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Transformations (93B17) Large-scale systems (93A15) Stability of control systems (93D99) Model systems in control theory (93C99)

Related Items (3)

Reduced order modelling of discrete-time systems ⋮ Direct bilinear Routh stability criteria for discrete systems ⋮ Losslessness and stability of LDI ladders and filters

Cites Work

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• Reduction of transfer functions by the stability-equation method
• Model reduction using the stability-equation method and the Padé approximation method
• A combined time and frequency domain method for model reduction of discrete systems
• Model reduction by best Chebyshev rational approximations in the complex plane
• Minimal Pade´ Model Reduction for Multivariable Systems
• Model reduction by Chebyshev polynomial techniques
• Model reduction using the stability-equation method and the continued-fraction method
• Stable Linear Systems Simplification Via Pade´ Approximations to Hurwitz Polynomials
• Linear model reduction using Mihailov criterion and Padé approximation technique
• Routh approximations for reducing order of linear, time-invariant systems
• Truncation of the mixed Cauer form The best approximation in a definite mathematical sense†

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