Sasane, Amol (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 |
| Library of Congress subject classification: | Q Science > QA Mathematics |
| Sets: | Departments > Mathematics |
| Date Deposited: | 08 Aug 2012 13:01 |
| URL: | http://eprints.lse.ac.uk/45257/ |
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