Concepedia

A note on low-order modeling

IEEE Transactions on Automatic Control · 1982 · 45 citations · 7 references

Concepts

Mathematical ProgrammingNumerical AnalysisReduced Order ModelingPade ApproximationEngineeringNumerical ComputationPade ApproximantRelative MeritsComputer EngineeringMarkov ParametersApproximation MethodInverse ProblemsFinite Model TheoryLow-order ModelingApproximation TheoryTime MomentsModel Analysis

Abstract

The relative merits and demerits of Padé and Routh approximants are discussed, and the effect of time moments and Markov parameters on reduced-order modeling is highlighted.

References

7

Routh approximations for reducing order of linear, time-invariant systems

M. Hutton, Bernard Friedland · IEEE Transactions on Automatic Control · 1975 · 620 citations

Mathematical Programming, Numerical Analysis, Reduced Order Modeling +13

Stable reduced-order Padé approximants using the Routh-Hurwitz array

Jayanta Pal · Electronics Letters · 1979 · 143 citations

Truncation method of reduction: a viable alternative

Y. Smamash · Electronics Letters · 1981 · 120 citations

Mathematical Programming, Numerical Analysis, Reduced Order Modeling +13

Stable biased reduced order models using the Routh method of reduction

Y. Shamash · International Journal of Systems Science · 1980 · 42 citations

Failure of the Routh-Hurwitz method of reduction

Y. Shamash · IEEE Transactions on Automatic Control · 1980 · 40 citations

Numerical Analysis, Reduced Order Modeling, Padé Approximation Method +12