## Martine Olivi

Institution :InriaService :FACTASE-mail :Martine.Olivi@inria.frPhone:+33 492 387 877Fax:+33 492 387 858## My main scientific interests :

My research interests lie in rational H2 approximation, parametrization issues for lossless functions and filter design.My interest for lossless matrices is motivated by two main applications in system theory:

The main outcomes of my research are:

- Lossless matrices appear as cornerstone in matrix rational L2 approximation with stability constraint,
- The transfer functions of conservative systems, and in particular scattering matrices of frequency filters, are lossless.

- A powerful rational approximation algorithm, implemented in the software RARL2;
- A well-understood correspondence between the tangential Schur algorithm and balanced realizations which provides useful parametrizations;
- Original methods, based on Schur analysis, to deal with modeling, identification and design issues for filters and multiplexers.

## Representative publications

Identification of microwave filters by analytic and rational H2 approximation

M. Olivi, F. Seyfert and J.P. Marmorat

Automatica 49(2013) 317-325, doi: 10.1016/j.automatica.2012.10.005.Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm

B. Hanzon, M. Olivi and R.L.M. Peeters

Linear Algebra and its Applications, 418 (2006), 793-820Matrix rational H2 approximation: a gradient algorithm based on Schur analysis

P. Fulcheri and M. Olivi

SIAM Journal on Control and OptimizationVol. 36, No. 6, 2103-2127(1998)

## Curriculum Vitae

## Publications

## Some presentations

## The software RARL2

## Teatching: Fourier Analysis (in french)

## Popularization of science (in french)