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Helmke, Uwe; Jordan, Jens; Lieb, Julia (2015). Reachability of random Linear systems over finite fields. In: Pinto, Raquel; Malonek, Paula Rocha; Vettori, Paolo. Coding Theory and Applications. Cham, Switzerland, 217-225.
This paper deals with the probability of classical system-theoretic properties of random linear systems defined over a finite field. Explicit formulas are derived for the probability that the reachability matrix of a linear system has rank r. We also calculate the probability that the parallel connection of two single-input systems is reachable. Our results should be viewed as a first step to calculate the probability that a network of linear systems is reachable.
| Item Type: | Book Section, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 340 Law
610 Medicine & health 510 Mathematics |
| Language: | English |
| Date: | 2015 |
| Deposited On: | 10 Nov 2021 15:42 |
| Last Modified: | 26 Dec 2024 02:37 |
| ISBN: | 978-3-319-17295-8 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/978-3-319-17296-5_23 |
Helmke, Uwe