Realizations of uncertain systems and formal power series

Carolyn Beck, John Doyle

Research output: Contribution to journalConference articlepeer-review


Rational functions of several noncommuting indeterminates arise naturally in robust control when studying systems with structured uncertainty. Linear fractional transformations (LFTs) provide a convenient way of obtaining realizations of such systems and a complete realization theory of LFTs is emerging. This paper establishes connections between a minimal LFT realization and minimal realizations of a formal power series, which have been studied extensively in a variety of disciplines. The result is a fairly complete generalization of standard minimal realization theory for linear systems to the formal power series and LFT setting.

Original languageEnglish (US)
Pages (from-to)1481-1485
Number of pages5
JournalProceedings of the American Control Conference
StatePublished - 1995
Externally publishedYes
EventProceedings of the 1995 American Control Conference. Part 1 (of 6) - Seattle, WA, USA
Duration: Jun 21 1995Jun 23 1995

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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