A squared magnitude continued fraction expansion for stable reduced models

DOI10.1080/00207727608941946zbMath0326.93020OpenAlexW2075154477MaRDI QIDQ4091794

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Publication date: 1976

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

Full work available at URL: https://doi.org/10.1080/00207727608941946

Mathematics Subject Classification ID

General systems theory (93A99) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Controllability, observability, and system structure (93B99)

Related Items (8)

Simplification of thez-transfer function via Padé approximation of the squared-magnitude function ⋮ Stable simplification of z-transfer functions by squared magnitude continued-fraction expansion ⋮ Use of squared magnitude function in approximation and hardware implementation of SISO fractional order system ⋮ Tangent-phase continued-fraction expansion for stable reduced models of linear discrete-time systems ⋮ Model reduction via least-squares Padé simplification of squared-magnitude functions ⋮ Stable reduction of linear discrete-time systems via multipoint squared-magnitude CFE ⋮ Order reduction of z-transfer functions via multipoint Jordan continued- fraction expansion ⋮ Model reduction for continuous- and discrete-time systems via squared-magnitude responses matching by linear programming

Cites Work

• Simplification of linear time-invariant systems by moment approximants †
• Near-optimal control of high-order systems using low-order models †
• Simplification ofz-transfer functions by continued fractions †
• The continued fraction representation of transfer functions and model simplification †
• On the relation between the continued fraction expansion and moments matching methods of model reduction †

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