The PhD topic lies on the boundary of several branches of applied mathematics: numerical analysis (stability of algorithms, linear algebra), real algebraic geometry (polynomial equations and inequalities), functional analysis (theory of moments), mathematical programming (convex optimization over the cone of positive semidefinite matrices), with systems control engineering applications (automatic control, linear and nonlinear dynamical systems). At the end of the project the candidate should be able to solve numerically some difficult problems like fixed-order robust controller design.
Requirements: A good background in applied mathematics is required (numerical analysis, functional analysis, mathematical programming), as well as a good knowledge of the scientific computing package Matlab. Some knowledge of systems control is welcome.
Application: A 3-year PhD fellowship (funded by the French Ministry of Higher Education and Research) is available for this project, interested candidates please contact D. Henrion at henrion
laas.fr before 31 May 2009.
