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- W2024149674 abstract "Two algorithms ‘ PS.Routh’ and ‘ CF.Routh’ are derived to prove the equivalence of two approaches to model reduction, namely the matching of Markov parameters of the system and the Cauer first-form expansion method ( Shieh and Goldman 1974) The equivalence of the reduced-order models obtained by matching time-moments ( Lai and Mitra 1974) and by the Cauer second-form ( Shieh and Goldman 1974) is also proved using the same algorithms by replacing the subscripts of the coefficients in the expansions. Then the property of a ‘ singularity ’ incidental to the model reduction, is investigated where the ‘ singularity’ means the situation in which the system cannot be simplified by the Routh algorithm ( Shieh and Goldman 1974) or by matching time-moments ( or Markov parameters) Using the algorithm PS.Routh, it is proved that the condition of singularity for the continued fractions is equivalent to that for the Pade-type approximations. Under this condition, the order of the reduced model is limited. It is further..." @default.
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- W2024149674 title "On the simplification of large linear systems using Padé -type approximations and Cauer continued fractions" @default.
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