GAIA - 2018 - Annual activity report

GAIA

GAIA - 2018

Team Gaia

Team, Visitors, External Collaborators

Overall Objectives

Algebraic and geometric studies of functional systems
Effective algebraic theories and their implementations in computer algebra systems
A rich interplay between computer algebra and control theory
Main objectives of the GAIA team

Research Program

Effective algebra
Computer algebra
Applications to control theory and signal processing

Application Domains

Adaptive & parametric robust control $-$ collaboration with Safran Electronics & Defense
Self calibration problem & Gear fault diagnosis $-$ collaboration with Safran Tech
Applications of the parameter estimation problem to multidisciplinary domains $-$ collaboration with an INSERM team (Rouen University)

Highlights of the Year

New Software and Platforms

ADHOMFI
Platforms

New Results

Regular (differential) chains
Systems of integro-differential equations
Certified non-conservative tests for the structural stability of discrete multidimensional systems
Using symbolic computation to solve algebraic Riccati equations arising in invariant filtering
Parametric sub-optimal $H_{\infty}$ controllers for an optro-mechanical system
A symbolic approach for signal demodulation and application to gearbox vibration analysis
Curve analysis for the stability of time-delay systems

Bilateral Contracts and Grants with Industry

Safran Electronics & Defense
Ellcie Healthy

Partnerships and Cooperations

National Initiatives
European Initiatives
International Initiatives
International Research Visitors

Dissemination

Promoting Scientific Activities
Teaching - Supervision - Juries
Popularization

Bibliography

Major publications
Publications of the year
References in notes

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Section: New Software and Platforms

ADHOMFI

Adaptive Homogeneous Filtering

Keywords: Automatic differentiation - Filtering

Functional Description: allows to reconstruct a signal based on derivatives estimation and to filter high amplitude and wide frequencies spectrum perturbations.

Contact: Denis Efimov

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