Beck, Carolyn and Doyle, John (1995) Realizations of uncertain systems and formal power series. In: Proceedings of 1995 American Control Conference (ACC '95). Vol.2. IEEE , Piscataway, NJ, pp. 1481-1486. ISBN 0-7803-2445-5. https://resolver.caltech.edu/CaltechAUTHORS:20190315-102303166
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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.
| Item Type: | Book Section | ||||||
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| Additional Information: | © 1995 IEEE. The authors are extremely grateful to Eduardo Sontag for provocative and stimulating discussions, which motivated the results in this paper. We would also like to thank Allen Tannenbaum for suggesting that we consider formal power series and talk to Eduardo Sontag. This work was supported by AFOSR. | ||||||
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| DOI: | 10.1109/ACC.1995.520997 | ||||||
| Record Number: | CaltechAUTHORS:20190315-102303166 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190315-102303166 | ||||||
| Official Citation: | C. Beck and J. Doyle, "Realizations of uncertain systems and formal power series," Proceedings of 1995 American Control Conference - ACC'95, Seattle, WA, USA, 1995, pp. 1481-1485 vol.2. doi: 10.1109/ACC.1995.520997 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 93863 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 15 Mar 2019 17:31 | ||||||
| Last Modified: | 16 Nov 2021 17:01 |
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