Sasane, Amol 
ORCID: 0000-0001-5566-9877
(2012)
Extension of the ν-metric for stabilizable plants over H∞.
Mathematical Control and Related Fields, 2 (1).
pp. 29-44.
ISSN 2156-8472
Abstract
An abstract ν-metric was introduced in [1], with a view towards extending the classical ν-metric of Vinnicombe from the case of rational transfer functions to more general nonrational transfer function classes of infinite-dimensional linear control systems. Here we give an important concrete special instance of the abstract ν-metric, namely the case when the ring of stable transfer functions is the Hardy algebra H∞, by verifying that all the assumptions demanded in the abstract set-up are satisfied. This settles the open question implicit in [2].
| Item Type: | Article |
|---|---|
| Official URL: | http://aimsciences.org/journals/home.jsp?journalID... |
| Additional Information: | © 2012 America Institute of Mathematical Sciences |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 08 Aug 2012 13:01 |
| Last Modified: | 12 Dec 2024 00:10 |
| URI: | http://eprints.lse.ac.uk/id/eprint/45257 |
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