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.

dc.contributor.authorParthasarathy, R.
dc.contributor.authorJayasimha, K.N.
dc.contributor.authorJohn, S.
dc.date.accessioned2026-02-05T11:00:44Z
dc.date.issuedOn Model Reduction by Modified Cauer Form
dc.description.abstract1983
dc.identifier.citationIEEE Transactions on Automatic Control, 1983, 28, 4, pp. 523-525
dc.identifier.issn189286
dc.identifier.urihttps://doi.org/10.1109/TAC.1983.1103262
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/28137
dc.subjectMODIFIED CAUER FORM
dc.subjectCONTROL SYSTEMS
dc.titleA 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.

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