Abstract

The concept of minimality as developed for uncertain and multidimensional systems represented by linear fractional transformations (LFTs) is related to realization theory results for formal power series. We discuss the relationship between the notions of minimality for LFT and series realizations, and present a method for obtaining one type of minimal realization from the opposing type. An extension of an existing minimality result for formal power series to the multi-input-multi-output (MIMO) case is also presented.

Original languageEnglish (US)
Pages (from-to)314-319
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume46
Issue number2
DOIs
StatePublished - Feb 1 2001

Keywords

  • Formal power series
  • Minimality
  • Uncertain and multidimensional systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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