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Item State-Space Models Using Modified Cauer Continued Fraction(1982) Parthasarathy, R.; John, S.This letter presents a procedure for obtaining reducedader models in statespace formulation, using modifd Cauer continued fraction as the basis. The proposed procedure is amenable to programming on a digital computer. Copyright 1982 by The institute of Electrical and Electronic Engineeer, Inc.Item On Model Reduction by Modified Cauer Form(1983) Parthasarathy, R.; Jayasimha, K.N.; John, S.A simple algorithm for obtaining the continued fraction quotients in the modified Cauer form (MCF) from the given system matrices in companion form is presented. In the sequel, the triple of all lower order models in companion form is directly obtained. A matrix method of obtaining the time-moments and Markov parameters from the MCF quotients is also outlined. Finally, it is shown that system reduction by matching a set of MCF quotients is equivalent to system reduction by matching a set of time-moments and Markov parameters. Copyright 1983 by The Institute of Electrical and Electronics Engineers, Inc.Item An Improved Algorithm for Inverting Cauer I and II Continued Fractions(1981) John, S.; Parthasarathy, R.This letter presents a one-shot algorithm, for inverting both Cauer I and II forms of continued fraction. The algorithm, which is amenable to digital computation, proceeds in the forward direction yielding at every stage the corresponding transfer function. Copyright 1981 by the Institute of Electrical and Electronics Engineers, Inc.Item A Generalized Algorithm for the Inversion of Cauer Type Continued Fractions(1980) Parthasarathy, R.; John, S.A new generalized algorithm, which can be programmed on a digital computer, is established for performing the inversion of the Cauer type continued fractions. 1980 IEEE