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[INMA] 2010-04-27 (14.00) : Occupation measures and LMI formulation of piecewise affine optimal control design problems

At Euler building

Speaker : Didier HENRION (LAAS-CNRS, University of Toulouse, France, and Faculty of Electrical Engineering, Czech Technical University in Prague, Czech Republic )
Abstract : After recalling the mathematical framework of occupation measures for nonlinear dynamical systems control, we show how linear matrix inequalities (LMI) can be used to solve computationally the corresponding generalized problem of moments. We illustrate these ideas first on a simple linear quadratic regulator design problem, and then on a less trivial piecewise affine optimal control problem for which we know analytically the solution of the Hamilton-Jacobi-Bellman equation. This is joint work with Luis Rodrigues, Concordia University, Montreal, Canada.
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[INMA] 2010-04-20 (14.00) : The brain accounts for 3D eye and head kinematics in the visuomotor transformation of velocity signals in manual tracking

At Euler building

Speaker : Leclercq, Guillaume
Abstract : Visually guided arm movements are common actions carried out each day in our everyday life. When performing visually guided arm movements, the brain needs to transform the visual information (the tennis ball, an obstacle) into an appropriate motor plan for the arm (i.e. a command to give to the arm's muscles). Here, we investigated if the brain accounts for the 3D eye position, 3D head position and 3D eye velocity in the visuomotor transformation of velocity signals for manual tracking movements. A visuomotor transformation model taking into account the complete 3D eye-head-shoulder kinematics was built using dual quaternions. To test model predictions, human subjects performed manual tracking movements in different eye-head-shoulder configurations, either static or dynamic. We compared the arm initial open-loop direction with the predictions provided by the model. Results show that the brain uses internal 3D eye and head position as well as eye velocity signals to account for the eye-head-shoulder kinematics in the visuomotor transformation of velocity signals for manual tracking movements.
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[INMA] 2010-04-13 (14.00) : Quality meshing of medical geometries with harmonic map

At Euler building

Speaker : Emilie MARCHANDISE (CESAME)
Abstract : This work describes an automatic approach to recover a high quality surface mesh from low-quality or oversampled inputs (STL-files) obtained from medical imaging through classical segmentation techniques. The approach combines a robust method of parametrization based on harmonic maps with a recursive call to a multi-level edge partitioning software. By doing so, we are able to get rid of the topological and geometrical limitations of harmonic maps. The overall remeshing procedure is implemented, together with the ïnfinite element discretization procedure required for computing harmonic maps, in the open-source mesh generator Gmsh. We show that the proposed method produces high quality meshes and we highlight the benefits of using those high quality meshes for biomedical simulations.
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[INMA] 2010-04-06 (14.00) : Polynomial Chaos Expansion in Reliability Analysis and Robust Optimisation

At Euler building

Speaker : Zein, Samih
Abstract : The Polynomial Chaos Expansion (PCE) is an efficient numerical method for relating the output of a nonlinear system with the uncertainty in its input parameters. The output can be approximated with a multidimensional polynomial function using the so called PCE. Numerically, such approximation can be obtained using a linear regression with an adequate design of experiments. In this presentation, a review is given on the PCE principle and its application in reliability analysis and robust optimisation. Then, an optimization algorithm is proposed that seeks the best design of experiments in the D-optimal sens for the PCE. This algorithm is based on the heuristic optimisation and the Fedorov exchange algorithm and is adapted to the specific case of the polynomial chaos expansion. We will conclude the presentation with a brief overview of the integration of a PCE method into an industrial optimization platform and task manager."
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[INMA] 2010-03-23 (14.00) : One path is not enough anymore

At Euler building

Speaker : Olivier BONAVENTURE (UCL-INGI)
Abstract : The Internet was designed with the assumption that there was one path between a pair of communicating hosts. The TCP congestion control scheme was added in the late 1980s to avoid congestion collapse on bottleneck links. The growth of multihoming, both at the enterprise/campus network level and at the host level with multiple wireless interfaces, completely changes the situation since there are now several useable paths between communicating hosts. In this talk, I'll survey the broad implications of this change on the network, transport and application layers of the Future Internet.
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