Extension of the $ν$-metric: the $H^\infty$ case

Details Extension of the $ν$-metric: the $H^\infty$ case Extension of the $ν$-metric: the $H^\infty$ case

2010-10-09

arxiv.org/abs/1010.1843v1

Mathematics

Optimization and Control

8 pages

Scientific paper

An abtract $\nu$-metric was introduced by Ball and Sasane, with a view towards extending the classical $\nu$-metric of Vinnicombe from the case of rational transfer functions to more general nonrational transfer function classes of infinite-dimensional linear control systems. In this short note, we give an additional concrete special instance of the abstract $\nu$-metric, by verifying all the assumptions demanded in the abstract set-up. This example links the abstract $\nu$-metric with the one proposed by Vinnicombe as a candidate for the $\nu$-metric for nonrational plants.

Affiliated with

Also associated with

No associations

Rating

Extension of the $ν$-metric: the $H^\infty$ case does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Extension of the $ν$-metric: the $H^\infty$ case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extension of the $ν$-metric: the $H^\infty$ case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-221142