**Publications ****SCIENTIFIC WORKS ****
**

In 1990, I defended my PhD thesis at the LIX laboratory. My thesis
advisor was Marc Giusti with whom I began to work in 1986 at the Centre de Mathématiques
(now Laurent Schwartz laboratory). My subject was to design identifiability
test by using computer algebra to solve polynomial equations. I discovered in
1988 differential algebra in the work of Wu Wentsün who gave a lecture at
Institut Henri Poincaré in Paris. At
that time, the use of differential algebra in control was already introduced by
Michel Fliess, with whom I met at that time.

In the nineties, my team went back to the Centre de Mathématique,
created the GAGE laboratory, and then UMS MEDICIS
providing computer services to the computer algebra community. Those years were
devoted to a long term work on differential flatness, a notion characterizing
differential systems whose solutions may be parameterized by m arbitrary
functions. This non generic property is very common in the engineering
practice. It allows solving easily motion planning problems and already has
many practical applications in the industry. It is also related to many
unsolved mathematical problems.

I also worked in differential algebra, mostly on some algorithmic
aspects. I was the thesis advisor of Ariane Péladan-Germa, who developed a
method for testing zero equivalence in differential rings extensions. I was
also coadvisor of Brahim Sadik’s thesis
Abdelilah Kandri-Rody of Marrakech University and we are still working together
since that time.

With the new century, after the
sudden suppression of UMS MEDICIS, we went to the newly created STIC department
of CNRS and created FRE STIX with a more applicative and pluridisciplinary
activity. Some research contracts have compensated the decrease of basic
research financial support. We are working with CNES, ONERA and APPEDGE on the CARINS project, devoted to
the simulation of liquid propellants rocket’s engines. We also work with
APPEDGE around the DIFFEDGE software for automatic differentiation of function
defined by block-schemes in Matlab-Simulink which offers many opportunities to
illustrate and develop new advances made in our team in linear control.

The identifiability theme also led me to invest, under the influence of
Daniel Claude, in research projects mixing control theory and biology, such ACI
SCARAMOCO.

*Working
group modeling and control of biological systems.*