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
An abstract ν-metric was introduced in , 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 .
|Additional Information:||© 2012 America Institute of Mathematical Sciences|
|Uncontrolled Keywords:||ν-metric, robust control, Hardy algebra|
|Library of Congress subject classification:||Q Science > QA Mathematics|
|Sets:||Departments > Mathematics|
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