Prof. Vladimir Peller

I am going to speak about joint results with V. I. Vasyunin. We consider the problem of finding the very best (superoptimal) approximation of a given rational matrix functions by matrix functions analytic in the unit disk. The superoptimal approximant must also be rational.
It is a very important problem in control theory to estimate its degree. We have solved a problem that remained open for over 15 years.
We have obtained definitive results in the case of matrix functions of size 2 x 2.
Prof. Vladimir Peller
Analysis Seminar
Michigan State University
Wed, 04/03/2009 - 12:00pm
RC-4082