## Research interests

I am interested in ** polynomial optimization for systems control**,
focusing on the development of constructive tools for addressing
mathematical problems arising from systems control theory.
I am trying to explore the mathematical domains of
convex optimization, real algebraic geometry, functional analysis and
dynamical systems. I would like to unveil
existing links between these disciplines, and exploit them to
study classical problems of systems control theory from
a different perspective.

My background is in systems control engineering, following up
the work of the Prague school on polynomial methods for systems control
(Vladimir Kucera, mid 1970s) and the Toulouse school
on convex optimization for systems control
(Jacques Bernussou, mid 1980s). I am working at LAAS, a laboratory
of CNRS founded in 1967 by Jean Lagasse to study systems control problems
for the aerospace industry (now research activities at LAAS also
include computer science, robotics, micro and nano-electronics).
Historically, LAAS was created as an
outgrowth of the electrical engineering laboratories of Toulouse
whose history can be traced back to the Electrotechnical Institute
of Toulouse created by Charles Camichel in 1907. See this
document
(in French) for more information on my French scientific genealogy.
I have also a part-time
affiliation with the Departement of Control Engineering,
Faculty of Electrical Engineering of
the Czech Technical University in Prague, an engineering school
founded in 1707 by the Austrian Emperor Joseph I. See this
document
(in Czech) for an history of control engineering in this university.
See also Vladimir Kucera's webpage
in Czech or
in English
for more information on my Czech scientific genealogy.

Keywords: systems control,
convex optimization over linear matrix
inequalities (LMI), semidefinite programming (SDP),
numerical algorithms for polynomial matrices.

AMS 2010 MSC: 93 (systems theory; control), 90C (mathematical programming).