Nudelman interpolation, parametrizations of lossless functions and balanced realizations

Details Nudelman interpolation, parametrizations of lossless functions and balanced realizations Nudelman interpolation, parametrizations of lossless functions and balanced realizations

2010-12-15

arxiv.org/abs/1012.3335v1

Automatica 43 (2007) 1329-1338

Mathematics

Optimization and Control

Scientific paper

10.1016/j.automatica.2007.01.020

We investigate the parametrization issue for discrete-time stable all-pass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition. A recursive construction of balanced realizations is associated with it, that possesses a very good numerical behavior. Several atlases of charts or families of local parametrizations are presented and for each atlas a chart selection strategy is proposed. The last one can be viewed as a nice mutual encoding property of lossless functions and turns out to be very efficient. These parametrizations allow for solving optimization problems within the fields of system identification and optimal control.

Affiliated with

Also associated with

No associations

Rating

Nudelman interpolation, parametrizations of lossless functions and balanced realizations 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 Nudelman interpolation, parametrizations of lossless functions and balanced realizations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nudelman interpolation, parametrizations of lossless functions and balanced realizations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-13993