Noncommuting multidimensional realization theory: Minimality, reachability, and observability

Carolyn Beck, Raffaello D'Andrea

Research output: Contribution to journalArticlepeer-review


A generalization of the notions of minimality, reachability, and observability for parameter dependent and multidimensional systems modeled by linear fractional transformations over noncommuting operators is presented. The multidimensional system results developed herein are formally similar to and directly specialize to the standard results when one-dimensional systems are considered.

Original languageEnglish (US)
Pages (from-to)1815-1820
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number10
StatePublished - Oct 2004

ASJC Scopus subject areas

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


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