Abstract
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 language | English (US) |
|---|---|
| Pages (from-to) | 1481-1485 |
| Number of pages | 5 |
| Journal | Proceedings of the American Control Conference |
| Volume | 2 |
| State | Published - 1995 |
| Externally published | Yes |
| Event | Proceedings of the 1995 American Control Conference. Part 1 (of 6) - Seattle, WA, USA Duration: Jun 21 1995 → Jun 23 1995 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering