Table of contents

Set Programming Talks: [2019_JuMP] [2018_NCAG]

• solved using Sum-of-Squares Programming Talks: [2020_INFORMSSOS] [2019_JuliaCon] [2018_JuMP] [2017_JuMP] Posters: [2018_NCAG]

  • with controlled or algebraic invariance constraints Papers: [2018_NAHS] Talks: [2019_ICCOPT] [2018_ADHS: application to MPC] [2018_ISMP: application to Stochastic Programming] [2018_BNLM]

    • for piecewise semi-ellipsoids Papers: [2020_LCSS] Talks: [2020_PieceQuad]

  • Certifying infeasibility Papers: [2020_SICON] [2019_TAC] Talks: [2017_BNLM] [2017_UCLA] [2016_CTUP]

    • Stabilization of Switched Systems applied to adaptative (co-)simulation Talks: [2018_CDC] [2018_UANT] Posters: [2018_ADHS]

    • Stability of delayed switched systems Talks: [2020_CDC]

• solved using Dual Dynamic Programming applied to the Entropic Cone Talks: [2017_ENPC] [2016_SITB]

JuMP and MathOptInterface Papers: [2021_IJOC] Talks: [2020_INFORMS] [2019_NSIDE] [2019_BJUG] [2019_LANL] [2019_EURO] [2019_JuliaNantes]

PhD thesis

Papers and proceedings

• Benoît Legat and Luc Rocher. The Limits of Pairwise Correlation to Model the Joint Entropy. Sensors, 2021. 10.3390/s21113700
• Benoît Legat and Raphaël Jungers. Geometric control of algebraic systems. 7th IFAC Conference on Analysis and Design of Hybrid Systems, 2021.
  arXiv code
• Benoît Legat, Jean Bouchat and Raphaël Jungers. Abstraction-based branch and bound approach to Q-learning for hybrid optimal control. 3rd Annual Learning for Dynamics & Control Conference, 2021.
  arXiv
• Benoît Legat, Oscar Dowson, Joaquim Dias Garcia, and Miles Lubin. MathOptInterface: a data structure for mathematical optimization problems.
  arXiv Optimization Online code
• Benoît Legat, Cláudio Gomes, Paschalis Karalis, Raphaël M. Jungers, Eva Navarro, and Hans Vangheluwe. Stability of Planar Switched Systems under Delayed Event Detection. IEEE Conference on Decision and Control (CDC), 2020. 10.1109/CDC42340.2020.9304152
  arXiv
• Benoît Legat, Saša V. Raković, and Raphaël M. Jungers. Piecewise Semi-Ellipsoidal Control Invariant Sets. IEEE Control Systems Letters (L-CSS), 2020. 10.1109/LCSYS.2020.3005326
  arXiv code
• Benoît Legat, Pablo A. Parrilo, and Raphaël M. Jungers. Certifying unstability of Switched Systems using Sum of Squares Programming. SIAM Journal on Control and Optimization (SICON), 2020. 10.1137/18M1173460
  arXiv pdf code
• Benoît Legat, Paulo Tabuada, and Raphaël M. Jungers. Sum-of-Squares methods for controlled invariant sets with applications to model-predictive control. Nonlinear Analysis: Hybrid Systems (NAHS), 2020. 10.1016/j.nahs.2020.100858
  code
• Benoît Legat, Pablo A. Parrilo and Raphael M. Jungers. An entropy-based bound for the computational complexity of a switched system. IEEE Transactions on Automatic Control (TAC), 2019. 10.1109/TAC.2019.2902625
  codeocean
• Cláudio Gomes, Raphaël M. Jungers, Benoît Legat, and Hans Vangheluwe. Minimally, Constrained Stable Switched Systems and Application to Co-Simulation. IEEE Conference on Decision and Control (CDC), 2018, pp. 5676-5681. 10.1109/CDC.2018.8619223
  arXiv
• Benoît Legat, Paulo Tabuada and Raphaël Jungers. Computing controlled invariant sets for hybrid systems with applications to model-predictive control. 6th IFAC Conference on Analysis and Design of Hybrid Systems, 2018. 10.1016/j.ifacol.2018.08.033
  arXiv code
• Cláudio Gomes, Benoît Legat, Raphaël M. Jungers and Hans Vangheluwe. Stable Adaptive Co-simulation: A Switched Systems Approach. IUTAM Symposium on Co-Simulation and Solver Coupling, 2017. 10.1007/978-3-030-14883-6_5
• Manon Martin, Benoît Legat, Justine Leenders, Julien Vanwinsberghe, Réjane Rousseau, Bruno Boulanger, Paul H.C. Eilers, Pascal De Tullio and Bernadette Govaerts. PepsNMR for 1H-NMR metabolomic data pre-processing. Analytica Chimica Acta, 2018. 10.1016/j.aca.2018.02.067
  code
• Benoît Legat, Raphaël M. Jungers. Parallel optimization on the Entropic Cone. 37rd Symposium on Information Theory in the Benelux, 2016.
  pdf code slides
• Benoît Legat, Raphaël M. Jungers, and Pablo A. Parrilo. Generating Unstable Trajectories for Switched Systems via Dual Sum-Of-Squares Techniques. 19th International Conference on Hybrid Systems: Computation and Control. ACM, 2016. 10.1145/2883817.2883821
  pdf code slides

Talks

Upcoming

• POEMA Learning Week 2, September 2021.
• JuliaCon 2021, July 2021
  slides
• JuMP-dev 2021, July 2021
  slides

Past

• EUROPT 2021, July 2021
  slides
• 7th IFAC Conference on Analysis and Design of Hybrid Systems, July 2021
  slides
• 59th IEEE Conference on Decision and Control, December 2020
  slides
• 59th IEEE Conference on Decision and Control, December 2020
  slides
• 2020 INFORMS Annual Meeting, November 2020
  slides
• 2020 INFORMS Annual Meeting, November 2020
  slides
• N-SIDE, October 2019
  slides
• Berlin Julia Users Group, August 2019
  slides
• ICCOPT 2019, August 2019
  slides
• JuliaCon 2019, July 2019
  slides video
• Los Alamos National Institute (LANL), Center for Nonlinear Studies (CNLS) 2019, July 2019
  slides
• European Conference in Operational Research 2019, June 2019.
  slides
• juliaday Nantes 2019, June 2019.
  slides
• The Third Annual JuMP-dev Workshop, March 2019.
  slides video
• The Third Annual JuMP-dev Workshop, March 2019.
  notebooks video
• 57th IEEE Conference on Decision and Control, December 2018.
  slides
• Summer School on Numerical Computing in Algebraic Geometry, August 2018.
• IFAC Conference on Analysis and Design of Hybrid Systems, July 2018.
  slides code
• 23rd International Symposium on Mathematical Programming, July 2018.
  slides code
• The Second Annual JuMP-dev Workshop, June 2018.
  slides code
• 37th Benelux Meeting on Systems and Control, March 2018.
  slides
• UAntwerpen, February 2018.
  slides
• The First Annual JuMP-dev Workshop, June 2017.
  slides video
• Ecole des Ponts, June 2017.
  slides
• 36th Benelux Meeting on Systems and Control, March 2017.
  pdf slides
• UCLA Electrical Engineering Dept., March 2017.
  slides
• Czech Technical University in Prague, November 2016.
  slides
• 37rd Symposium on Information Theory in the Benelux, May 2016.
  slides
• 19th ACM International Conference on Hybrid Systems: Computation and Control, April 2016.
  slides

Posters

• 3rd Annual Learning for Dynamics & Control Conference, June 2021.
  poster
• Summer School on Numerical Computing in Algebraic Geometry, August 2018.
  poster
• IFAC Conference on Analysis and Design of Hybrid Systems, July 2018.
  poster