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Nicolas Delanoue
nicolas.delanoue@univ-angers.fr

Who I am

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Since november 2008, I am associate professor at the Laboratoire Angevin de Recherche en Ingénierie des Systèmes (LARIS). You can download my Ph.D. thesis titled "Algorithmes numériques pour l'analyse topologique. Calcul par intervalle et théorie des graphes", the slides. My "Thèse d'habilitation à diriger des recherches" titled Méthodes numériques garanties pour la classification de fonctions et le contrôle optimal can be here. The slides are also available.

My main subject of interest is the creation of numerical algorithms capable of computing the properties of sets or maps. Therefore, my subjects of interest are : Interval analysis, computation, topology, path-connected set, path-planning, stable mappings, optimal control ...

"The reading of all good books is like conversation with the finest men of past centuries." Descartes, 17th century. I am what I read and what I watch.

Publications

  1. Nicolas Delanoue, Luc Jaulin, and Bertrand Cottenceau. Using interval arithmetic to prove that a set is path-connected. Theoretical Computer Science, 351(1) :119-128, 2006. Real Numbers and Computers. download the preprint (pdf)

  2. Nicolas Delanoue, Luc Jaulin, and Bertrand Cottenceau. Guaranteeing the homotopy type of a set defined by non-linear inequalities. Reliable Computing, 13(5) :381-398, 2007 download the preprint (pdf)

  3. Sébastien Lagrange, Nicolas Delanoue, and Luc Jaulin. On sufficient conditions of the injectivity : Development of a numerical test algorithm via interval analysis. Reliable Computing, 13(5) :409-421, 2007. download the preprint (pdf)

  4. Sébastien Lagrange, Nicolas Delanoue, and Luc Jaulin. Injectivity analysis using interval analysis : Application to structural identifiability. Automatica, 44(11) :2959- 2962, 2008 download the preprint (pdf)

  5. Nicolas Delanoue, Luc Jaulin, Laurent Hardouin and Mehdi Lhommeau. Guaranteed Characterization of Capture Basins of Nonlinear State-Space Systems, 24: 265-272. Springer, Berlin, Heidelberg, 2009. download the preprint (pdf)

  6. Nicolas Delanoue, Luc Jaulin, and Bertrand Cottenceau. An algorithm for computing a neighborhood included in the attraction domain of an asymptotically stable point. Communications in Nonlinear Science and Numerical Simulation, 21(1) :181-189, 2015. download the preprint (pdf)

  7. Nicolas Delanoue and Sébastien Lagrange. A numerical approach to compute the topology of the apparent contour of a smooth mapping from R^2 to R^2. Journal of Computational and Applied Mathematics, 271(Supplement C) :267-284, 2014. download the preprint (pdf)

  8. Nicolas Delanoue, Mehdi Lhommeau, and Philippe Lucidarme. Numerical enclosures of the optimal cost of the kantorovitch's mass transportation problem. Computational Optimization and Applications, 63(3) :855-873, 2016. download the preprint (pdf)

  9. Romain Benoit, Nicolas Delanoue, Sébastien Lagrange, and Philippe Wenger. Guaranteed detection of the singularities of 3R robotic manipulators. Mechanical Sciences, 7(1) :31-38, 2016. download the preprint (pdf)

  10. Romain Benoit, Nicolas Delanoue, Sébastien Lagrange and Philippe Wenger, Combinatorial description of 2-dimensional kinematic functions : application to 3R robotic manipulators Submitted to Robotica, 2018

  11. Mohamed Mustafa, Alexandru Stancu, Nicolas Delanoue, and Eduard Codres. Guaranteed SLAM - An interval approach. Robotics and Autonomous Systems, 100 :160-170, 2018.

  12. Jean-Baptiste Fasquel and Nicolas Delanoue. An approach for sequential image interpretation using a priori binary perceptual topological and photometric knowledge and k-means based segmentation. Journal of the Optical Society of America A, 35(6) :936-945, 2018.

  13. Jean-Baptiste Fasquel and Nicolas Delanoue. A graph based image interpretation method using a priori qualitative inclusion and photometric relationships. IEEE Transactions on Pattern Analysis and Machine Intelligence,41(5) :1043-1055, 2019.

  14. Nicolas Delanoue, Mehdi Lhommeau, and Sébastien Lagrange. Nonlinear optimal control : A numerical scheme based on occupation measures and interval analysis. Computational Optimization and Applications, Springer Verlag, volume 77, pages 307-334, 2020, 10.1007/s10589-020-00198-8

  15. Christine Chevallereau, Philippe Wenger, Yannick Aoustin, Franck Mercier, Nicolas Delanoue, Philippe Lucidarme. Leg design for biped locomotion with mono-articular and bi-articular linear actuation. Mechanism and Machine Theory, Volume 156, pages 104-138, 2021, 10.1016/j.mechmachtheory.2020.104-138

  16. Morgan Langard, Philippe Lucidarme, Nicolas Delanoue, Rémy Guyonneau, Franck Mercier, Christine Chevallereau, Philippe Wenger, Yannick Aoustin. Design and Optimization of a Planar Biped Leg Based on Direct Drive Linear Actuators. Mathematical Problems in Engineering, Special Issue Applied Mathematics for Engineering Problems in Biomechanics and Robotics 2022 , vol. 2022, Article ID 6455182, 15 pages, 2022. https://doi.org/10.1155/2022/6455182

Conference

Conference Paper

Seminar

Master Students and PhD Student

Demo and solvers

Upcoming and Recent Trips

Conférences grand public

Teaching (For students)