GEOmetry and algebra of Linear Matrix Inequalities with control applications – GEOLMI
GeoLMI
Geometry and Algebra of Linear Matrix Inequalities with Systems Control Applications
Research topics
# Geometry of determinantal varieties<br /># Positive polynomials<br /># Computational algebraic geometry<br /># Semidefinite programming<br /># Systems control applications
# Pure mathematics (real and complex algebraic geometry)
# Applied mathematics (computational algebraic geometry, optimization, mathematical programming)
# Engineering sciences (systems control)
The GeoLMI project aims at developing an algebraic and geometric study of linear matrix inequalities (LMI) for systems control theory. It is an interdisciplinary project at the border between information sciences (systems control), pure mathematics (algebraic geometry) and applied mathematics (optimisation). The project focuses on the geometry of determinantal varieties, on decision problems involving positive polynomials, on computational algorithms for algebraic geometry, on computational algorithms for semidefinite programming, and on applications of algebraic geometry techniques in systems control theory, namely for robust control of linear systems and polynomial optimal control.
Project coordination
Didier Henrion (CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE - DELEGATION REGIONALE MIDI-PYRENEES) – henrion@laas.fr
The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.
Partner
LMA SDC DE L'UNIVERSITE DE PAU
IRMAR UNIVERSITE DE RENNES I
LIP6 UNIVERSITE PARIS VI [PIERRE ET MARIE CURIE]
LAAS-CNRS CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE - DELEGATION REGIONALE MIDI-PYRENEES
INRIA INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE -(INRIA Centre Sophia-Antipolis Méditérrannée)
LJK - INRIA - Gre RA INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE - (INRIA Ctre Grenoble Rh.-Alpes)
Help of the ANR 419,894 euros
Beginning and duration of the scientific project:
August 2011
- 48 Months
