## Section: Overall Objectives

### Members complementarity

The members of the ALIEN project work in 3 different places: Paris, Lille and Nancy; they share the algebraic tool and the non - asymptotic estimation goal, which constitute the natural kernel of the project. Each of them contributes to both theoretical and applied sides of the global
project. The following table draws up a scheme of some of their specialities. Of course,
*algebraic tools, identification and estimation* are not recalled here since any member of ALIEN is concerned with.

Upstream Researches | Application Fields | |

Computer algebra - | ||

Saclay | Nonstandard analysis - Signal - | |

LIX | Linear & nonlinear control - Delays | |

Paris Descartes | Signal - Numerical analysis | Denoising - Demodulation - |

CRIP5 | Biomedical signal processing | |

Cergy | Nonlinear observers - | Cryptography - |

ECS | Hybrid systems | Multi-cell chopper/converter |

Lille | Computer algebra | Dedicated software |

LIFL | ||

Lille | Applied mathematics | High performance machining - |

ENSAM | Precision sensors, AFM (Atomic Force Microscope, for which fast filtering is required) | |

Lille | Delay systems - | Aeronautics - |

LAGIS | Nonlinear control - Observers | Magnetic bearings - Friction estimation - |

(finite-time/unknown input) | Networked control - Robotics | |

Nancy | Diagnosis - Control - Signal | Industrial processes - |

CRAN | Signal & image processing |