Continued-fraction expansion about two or more points: A flexible approach to linear system reduction

DOI10.1016/0016-0032(86)90055-4zbMath0578.93028OpenAlexW1999588452MaRDI QIDQ1066847

T. N. Lucas

Publication date: 1986

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(86)90055-4

zbMATH Keywords

Model reductioncontinued-fraction expansion

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Continued fractions; complex-analytic aspects (30B70) Stability of control systems (93D99) Model systems in control theory (93C99)

Related Items (6)

Linear time invariant system order reduction using multipoint step response matching ⋮ Optimal model reduction by multipoint Padé approximation ⋮ Generalized moment method for the order reduction of multivariable systems ⋮ Power law-based local search in spider monkey optimisation for lower order system modelling ⋮ New results on relationships between multipoint Padé approximation and stability preserving methods in model reduction ⋮ New matrix method for multipoint Padé approximation of transfer functions

Cites Work

• Model reduction for control systems with parameter variations
• Sampling method for linear system reduction
• Reduction of transfer functions by the stability-equation method
• Failure of the Routh-Hurwitz method of reduction
• Stable reduced-order models using Padé-type approximations
• Linear system reduction using Pade approximation to allow retention of dominant modes
• Model reduction using the Routh stability criterion and the Padé approximation technique
• Routh approximations for reducing order of linear, time-invariant systems
• A note on low-order modeling
• An improvement in the Routh-Padé approximation techniques

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