Project-apics:ANR project “AHPI”

Team apics

Members

Overall Objectives

Scientific Foundations

Identification and approximation
Structure and control of non-linear systems

Application Domains

Introduction
Geometric inverse problems for elliptic partial differential equations
Identification and design of resonant systems: hyperfrequency filter identification
Spatial mechanics

Software

The Tralics Translator
RARL2
RGC
PRESTO-HF
Endymion
Dedale-HF
FindSources3D

New Results

Tralics: a LaTeX to XML Translator
Proving Bourbaki with Coq
Inverse Problems for 2-D and 3-D elliptic operators
Interpolation and parametrizations of transfer functions
Approximation and parametrization of wavelets
Schur rational approximation
Rational and meromorphic approximation
Circuit realisations of filter responses: determination of canonical forms and exhaustive computations of constrained realisations
Synthesis of compact multiplexers and the polynomial structure of n×n inner matrices
The Zolotarev problem and multi-band filter design
Synthesis and Tuning of broad band microwave filters
Frequency approximation and OMUX design
Local topological linearization of control systems
Necessary conditions for dynamic equivalence
Average control systems

Contracts and Grants with Industry

Contracts CNES-IRCOM-INRIA

Other Grants and Activities

Scientific Committees
ANR project “AHPI”
ANR project “Filipix”
Other national or international actions
The Apics Seminar

Dissemination

Teaching
Community service
Conferences and workshops

Bibliography

Major publications
Publications of the year
References in notes

Inria / Raweb 2009
Presentation of the Project apics

Section: Other Grants and Activities

ANR project “AHPI”

AHPI (Analyse Harmonique et Problèmes Inverses), is a “Projet blanc” in Mathematics involving Inria-Sophia (L. Baratchart coordinator), the Université de Provence (LATP, Aix-Marseille), the Université Bordeaux I (LATN), the Université d'Orléans (MAPMO), Inria-Bordeaux and the Université de Pau (Magique 3D). It aims at developing Harmonic Analysis techniques to approach inverse problems in seismology, Electro-encephalography, tomography and nondestructive control.

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