Extension of the $ν$-metric for stabilizable plants over $H^\infty$

Details Extension of the $ν$-metric for stabilizable plants over $H^\infty$ Extension of the $ν$-metric for stabilizable plants over $H^\infty$

2011-07-29

arxiv.org/abs/1107.5928v3

Mathematics

Optimization and Control

12 pages

Scientific paper

An abstract $\nu$-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 important concrete special instance of the abstract $\nu$-metric, by verifying that all the assumptions demanded in the abstract set-up are satisfied when the ring of stable transfer functions is the Hardy algebra $H^\infty$. This settles the open question implicit in \cite{BalSas2}.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-318761