Frentz, Marie and Sasane, Amol
(2013)
*Reformulation of the extension of the ν-metric for H∞.*
Journal of Mathematical Analysis and Applications, 401 (2).
pp. 659-971.
ISSN 0022-247X

## Abstract

The classical ν-metric introduced by Vinnicombe in robust control theory for rational plants was extended to classes of nonrational transfer functions in Ball (2012) [1]. In Sasane (2012) [11], an extension of the classical ν-metric was given when the underlying ring of stable transfer functions is the Hardy algebra, H∞. However, this particular extension to H∞ did not directly fit in the abstract framework given in Ball (2012) [1]. In this paper we show that the case of H∞ also fits into the general abstract framework in Ball (2012) [1] and that the ν-metric defined in this setting is identical to the extension of the ν-metric defined in Sasane (2012) [11]. This is done by introducing a particular Banach algebra, which is the inductive limit of certain C*-algebras

Item Type: | Article |
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Official URL: | http://www.journals.elsevier.com/journal-of-mathem... |

Additional Information: | © 2013 Elsevier |

Divisions: | Mathematics |

Subjects: | Q Science > QA Mathematics |

Sets: | Departments > Mathematics |

Date Deposited: | 24 Jan 2013 12:17 |

Last Modified: | 20 Nov 2019 10:49 |

URI: | http://eprints.lse.ac.uk/id/eprint/48076 |

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