About the position
Context This position is part of a joint initiative between two Inria research teams: Gamble (Inria Nancy) and Ouragan (Inria Paris), in collaboration with the ANR StratMesh project. The objective is to develop new methods and reliable visualization tools, specifically dedicated to the study and reliable triangulation of surfaces that are solutions to equations arising in the design of robust controllers for differential and delay differential systems (studied as quasi-polynomials). Regular travel between the Nancy and Paris teams may be required for this position. Travel expenses will be covered within the limits of the applicable regulations. Assignment Missions: With the support of the Gamble and Ouragan teams, the successful candidate will classify stable singularities occurring in robust control equations and design an efficient algorithm to triangulate the implicit solution surface of these equations. For further information on the proposed research topic: A state-of-the-art review, bibliography, and scientific references are available at: https://homepages.loria.fr/GMoroz/postdocs/triangulation_automatique_2026.pdf Collaboration: The recruited candidate will work with researchers from the ANR StratMesh project (Gamble and Ouragan teams), who are collaborating to develop new reliable methods for control problems. Main activities Main Activities: Analyze and classify stable singularities appearing in robust control systems and delay systems (quasi-polynomial equations). Propose new reliable methods for robust control (H∞) to determine the robustness radius γ as a function of the system's physical parameters. Develop algorithms, reliable visualization tools, and software capable of handling surfaces with singular points and self-intersections. Test and improve state-of-the-art numerical algorithms for triangulating perturbed singular curves or surfaces. Write scientific documentation, research reports, and associated publications. Skills Technical Skills and Requirements. Knowledge of symbolic and numerical methods, or computational geometry (stratification and triangulation).Solid background in linear algebra and differential equations to address control theory (H ∞ methods) and linear delay differential systems. Programming skills for developing visualization software. Languages. Fluent English (reading, writing, speaking) is essential for writing publications and international collaboration. Interpersonal Skills. Ability to work effectively in a team within an inter-laboratory project (Inria Nancy and Inria Paris).Strong autonomy in research.
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