Set inversion via interval analysis for nonlinear bounded-error estimation. - Luc Jaulin; Eric Walter (Autom., 1993)

Guaranteed characterization of stability domains via set inversion. - Eric Walter; Luc Jaulin (IEEE Trans. Autom. Control., 1994)

Guaranteed tuning, with application to robust control and motion planning. - Luc Jaulin; Eric Walter (Autom., 1996)

Guaranteed Analysis and Optimisation of Parametric Systems with Application to their Stability Degree. - Olivier Didrit; Luc Jaulin; Eric Walter (Eur. J. Control, 1997)

Global numerical approach to nonlinear discrete-time control. - Luc Jaulin; Eric Walter (IEEE Trans. Autom. Control., 1997)

Nonlinear identification based on unreliable priors and data, with application to robot localization. - Michel Kieffer; Luc Jaulin; Eric Walter; Dominique Meizel (Robustness in Identification and Control, 1998)

Proving set inclusion via intervals: application to parametric robust stability. - Luc Jaulin; J. Burger (Autom., 1999)

Guaranteed parameter bounding for nonlinear models with uncertain experimental factors. - Luc Jaulin; Eric Walter (Autom., 1999)

Estimation of Discrete-Event Systems Using Interval Computation. - Luc Jaulin; Jean-Louis Boimond; Laurent Hardouin (Reliab. Comput., 1999)

Le calcul ensembliste par analyse par intervalles et ses applications. - Luc Jaulin (2000)

Interval constraint propagation with application to bounded-error estimation. - Luc Jaulin (Autom., 2000)

Robust Autonomous Robot Localization Using Interval Analysis. - Michel Kieffer; Luc Jaulin; Eric Walter; Dominique Meizel (Reliab. Comput., 2000)

Model selection via worst-case criterion for nonlinear bounded-error estimation. - Sofiane Brahim-Belhouari; Michel Kieffer; Gilles Fleury; Luc Jaulin; Eric Walter (IEEE Trans. Instrum. Meas., 2000)

Guaranteed numerical alternatives to structural identifiability testing. - Isabelle Braems; Luc Jaulin; Michel Kieffer; Eric Walter (CDC, 2001)

Solving Composed First-Order Constraints from Discrete-Time Robust Control - Stefan Ratschan; Luc Jaulin (CoRR, 2001)

Path Planning Using Intervals and Graphs. - Luc Jaulin (Reliab. Comput., 2001)

Reliable Minimax Parameter Estimation. - Luc Jaulin (Reliab. Comput., 2001)

Interval methods for nonlinear identification and robust control. - Luc Jaulin; Isabelle Braems; Eric Walter (CDC, 2002)

Consistency Techniques for the Localization of a Satellite. - Luc Jaulin (COCOS, 2002)

Quelques applications de la propagation de contraintes sur les domaines continus en automatique. - Luc Jaulin; Marc Christie; Laurent Granvilliers (JFPLC, 2002)

Nonlinear bounded-error state estimation of continuous-time systems. - Luc Jaulin (Autom., 2002)

Guaranteed robust nonlinear minimax estimation. - Luc Jaulin; Eric Walter (IEEE Trans. Autom. Control., 2002)

Initial localization by set inversion. - Dominique Meizel; Olivier Lévêque; Luc Jaulin; Eric Walter (IEEE Trans. Robotics Autom., 2002)

Guaranteed robust nonlinear estimation with application to robot localization. - Luc Jaulin; Michel Kieffer; Eric Walter; Dominique Meizel (IEEE Trans. Syst. Man Cybern. Part C, 2002)

Reconstructing 3D Objects from Silhouettes with Unknown Viewpoints: The Case of Planar Orthographic Views. - Andrea Bottino; Luc Jaulin; Aldo Laurentini (CIARP, 2003)

Guaranteed Numerical Computation as an Alternative to Computer Algebra for Testing Models for Identifiability. - Eric Walter; Isabelle Braems; Luc Jaulin; Michel Kieffer (Numerical Software with Result Verification, 2003)

Robust controller design for timed event graphs in dioids. - Mehdi Lhommeau; Laurent Hardouin; Bertrand Cottenceau; Luc Jaulin (ETFA (1), 2003)

Finding Feasible Parameter Sets for Shape from Silhouettes with Unknown Position of the Viewpoints. - Andrea Bottino; Luc Jaulin; Aldo Laurentini (WSCG, 2003)

Analytical Solution of the Blind Source Separation Problem Using Derivatives. - Sebastien Lagrange; Luc Jaulin; Vincent Vigneron; Christian Jutten (ICA, 2004)

Counting the Number of Connected Components of a Set and Its Application to Robotics. - Nicolas Delanoue; Luc Jaulin; Bertrand Cottenceau (PARA, 2004)

Interval analysis and dioid: application to robust controller design for timed event graphs. - Mehdi Lhommeau; Laurent Hardouin; Bertrand Cottenceau; Luc Jaulin (Autom., 2004)

Set Computation for Nonlinear Control. - Luc Jaulin; Stefan Ratschan; Laurent Hardouin (Reliab. Comput., 2004)

Quantified Set Inversion Algorithm with Applications to Control. - Pau Herrero; Miguel Ángel Sainz; Josep Vehí; Luc Jaulin (Reliab. Comput., 2005)

Contracting Optimally an Interval Matrix without Loosing Any Positive Semi-Definite Matrix Is a Tractable Problem. - Luc Jaulin; Didier Henrion (Reliab. Comput., 2005)

Inner and Outer Approximations of Existentially Quantified Equality Constraints. - Alexandre Goldsztejn; Luc Jaulin (CP, 2006)

Localization of an Underwater Robot Using Interval Constraint Propagation. - Luc Jaulin (CP, 2006)

Using interval arithmetic to prove that a set is path-connected. - Nicolas Delanoue; Luc Jaulin; Bertrand Cottenceau (Theor. Comput. Sci., 2006)

Computing minimal-volume credible sets using interval analysis; application to bayesian estimation. - Luc Jaulin (IEEE Trans. Signal Process., 2006)

A new approach for computing with fuzzy sets using interval analysis. - Arunas Mazeika; Luc Jaulin; Christophe Osswald (FUSION, 2007)

A set approach to the simultaneous localization and map building - application to underwater robots. - Luc Jaulin; Frédéric Dabe; Alain Bertholom; Michel Legris (ICINCO-RA (2), 2007)

Inner and outer approximation of capture basin using interval analysis. - Mehdi Lhommeau; Luc Jaulin; Laurent Hardouin (ICINCO-SPSMC, 2007)

Control of a wheeled stair-climbing robot using linear programming. - Luc Jaulin (ICRA, 2007)

Computing the Pessimism of Inclusion Functions. - Gilles Chabert; Luc Jaulin (Reliab. Comput., 2007)

Guaranteeing the Homotopy Type of a Set Defined by Non-Linear Inequalities. - Nicolas Delanoue; Luc Jaulin; Bertrand Cottenceau (Reliab. Comput., 2007)

On Sufficient Conditions of the Injectivity: Development of a Numerical Test Algorithm via Interval Analysis. - Sebastien Lagrange; Nicolas Delanoue; Luc Jaulin (Reliab. Comput., 2007)

Injectivity analysis using interval analysis: Application to structural identifiability. - Sebastien Lagrange; Nicolas Delanoue; Luc Jaulin (Autom., 2008)

Nonlinear Blind Parameter Estimation. - Sebastien Lagrange; Luc Jaulin; Vincent Vigneron; Christian Jutten (IEEE Trans. Autom. Control., 2008)

Interval Robust Multi-Objective Evolutionary Algorithm. - Gustavo L. Soares; Frederico G. Guimarães; Carlos A. Maia; João A. Vasconcelos; Luc Jaulin (IEEE Congress on Evolutionary Computation, 2009)

Hull Consistency under Monotonicity. - Gilles Chabert; Luc Jaulin (CP, 2009)

A Constraint on the Number of Distinct Vectors with Application to Localization. - Gilles Chabert; Luc Jaulin; Xavier Lorca (CP, 2009)

Contractor programming. - Gilles Chabert; Luc Jaulin (Artif. Intell., 2009)

Robust set-membership state estimation; application to underwater robotics. - Luc Jaulin (Autom., 2009)

A Priori Error Analysis and Spring Arithmetic. - Gilles Chabert; Luc Jaulin (SIAM J. Sci. Comput., 2009)

A Nonlinear Set Membership Approach for the Localization and Map Building of Underwater Robots. - Luc Jaulin (IEEE Trans. Robotics, 2009)

Resolution of nonlinear interval problems using symbolic interval arithmetic. - Luc Jaulin; Gilles Chabert (Eng. Appl. Artif. Intell., 2010)

Inner Approximation of the Range of Vector-Valued Functions. - Alexandre Goldsztejn; Luc Jaulin (Reliab. Comput., 2010)

Processing interval sensor data in the presence of outliers, with potential applications to localizing underwater robots. - Jan Sliwka; Luc Jaulin; Martine Ceberio; Vladik Kreinovich (SMC, 2011)

Set-membership localization with probabilistic errors. - Luc Jaulin (Robotics Auton. Syst., 2011)

An Eigenvalue Symmetric Matrix Contractor. - Milan Hladík; Luc Jaulin (Reliab. Comput., 2011)

Range-Only SLAM With Occupancy Maps: A Set-Membership Approach. - Luc Jaulin (IEEE Trans. Robotics, 2011)

A non-linear set-membership approach for the control of discrete event systems. - Mehdi Lhommeau; Luc Jaulin; Laurent Hardouin (WODES, 2012)

Set-membership state estimation with fleeting data. - Fabrice Le Bars; Jan Sliwka; Luc Jaulin; Olivier Reynet (Autom., 2012)

Solving set-valued constraint satisfaction problems. - Luc Jaulin (Computing, 2012)

Color-based underwater object recognition using water light attenuation. - Stéphane Bazeille; Isabelle Quidu; Luc Jaulin (Intell. Serv. Robotics, 2012)

Combining Interval Analysis with Flatness Theory for State Estimation of Sailboat Robots. - Luc Jaulin (Math. Comput. Sci., 2012)

An Efficient Implementation of the SIVIA Algorithm in a High-Level Numerical Programming Language. - Pau Herrero; Pantelis Georgiou; Christofer Toumazou; Benoît Delaunay; Luc Jaulin (Reliab. Comput., 2012)

Guaranteed Characterization of the Explored Space of a Mobile Robot by Using Subpavings. - Vincent Drevelle; Luc Jaulin; Benoît Zerr (NOLCOS, 2013)

Loop detection of mobile robots using interval analysis. - Clément Aubry; Rozenn Desmare; Luc Jaulin (Autom., 2013)

Outer Approximation of Attractors Using an Interval Quantization. - Luc Jaulin (Reliab. Comput., 2013)

An Interval Approach for Stability Analysis: Application to Sailboat Robotics. - Luc Jaulin; Fabrice Le Bars (IEEE Trans. Robotics, 2013)

Cooperative localization of underwater robots with unsynchronized clocks. - Aymeric Bethencourt; Luc Jaulin (Paladyn J. Behav. Robotics, 2013)

If we take into account that constraints are soft, then processing constraints becomes algorithmically solvable. - Quentin Brefort; Luc Jaulin; Martine Ceberio; Vladik Kreinovich (CIES, 2014)

Hybridization of Monte Carlo and set-membership methods for the global localization of underwater robots. - Renata Neuland; Jeremy Nicola; Renan Maffei; Luc Jaulin; Edson Prestes; Mariana Luderitz Kolberg (IROS, 2014)

Computing Capture Tubes. - Luc Jaulin; Daniel Lopez; Vincent Le Doze; Stéphane Le Ménec; Jordan Ninin; Gilles Chabert; Mohamed Saad Ibn Seddik; Alexandru Stancu (SCAN, 2014)

Introduction to the algebra of separators with application to path planning. - Luc Jaulin; Benoît Desrochers (Eng. Appl. Artif. Intell., 2014)

Kernel Characterization of an Interval Function. - Clément Aubry; Rozenn Desmare; Luc Jaulin (Math. Comput. Sci., 2014)

Solving Non-Linear Constraint Satisfaction Problems Involving Time-Dependant Functions. - Aymeric Bethencourt; Luc Jaulin (Math. Comput. Sci., 2014)

Foreword. - Nacim Ramdani; Luc Jaulin (Math. Comput. Sci., 2014)

Phase Based Localization for Underwater Vehicles Using Interval Analysis. - Mohamed Saad Ibn Seddik; Luc Jaulin; Jonathan Grimsdale (Math. Comput. Sci., 2014)

Rigid Transformation Using Interval Analysis for Robot Motion Estimation. - Mohamed Mustafa; Alexandru Stancu; Salvador Pacheco Gutierrez; Eduard Alexandru Codres; Luc Jaulin (CSCS, 2015)

Set-membership approach to the kidnapped robot problem. - Benoît Desrochers; Simon Lacroix; Luc Jaulin (IROS, 2015)

An algorithm for computing a neighborhood included in the attraction domain of an asymptotically stable point. - Nicolas Delanoue; Luc Jaulin; Bertrand Cottenceau (Commun. Nonlinear Sci. Numer. Simul., 2015)

Robust data processing in the presence of uncertainty and outliers: Case of localization problems. - Anthony Welte; Luc Jaulin; Martine Ceberio; Vladik Kreinovich (SSCI, 2016)

Range-only SLAM with indistinguishable landmarks; a constraint programming approach. - Luc Jaulin (Constraints An Int. J., 2016)

A minimal contractor for the polar equation: Application to robot localization. - Benoît Desrochers; Luc Jaulin (Eng. Appl. Artif. Intell., 2016)

Thick set inversion. - Benoît Desrochers; Luc Jaulin (Artif. Intell., 2017)

An interval space reducing method for constrained problems with particle swarm optimization. - T. M. Machado-Coelho; Alexei Manso Corrêa Machado; Luc Jaulin; Petr Ekel; Witold Pedrycz; Gustavo Luís Soares (Appl. Soft Comput., 2017)

Minkowski Operations of Sets with Application to Robot Localization. - Benoît Desrochers; Luc Jaulin (SNR@ETAPS, 2017)

Guaranteed computation of robot trajectories. - Simon Rohou; Luc Jaulin; Lyudmila Mihaylova; Fabrice Le Bars; Sandor M. Veres (Robotics Auton. Syst., 2017)

Computing a Guaranteed Approximation of the Zone Explored by a Robot. - Benoît Desrochers; Luc Jaulin (IEEE Trans. Autom. Control., 2017)

An Interval Approach to Compute Invariant Sets. - Thomas Le Mézo; Luc Jaulin; Benoît Zerr (IEEE Trans. Autom. Control., 2017)

Bracketing the solutions of an ordinary differential equation with uncertain initial conditions. - Thomas Le Mézo; Luc Jaulin; Benoît Zerr (Appl. Math. Comput., 2018)

Reliable non-linear state estimation involving time uncertainties. - Simon Rohou; Luc Jaulin; Lyudmila Mihaylova; Fabrice Le Bars; Sandor M. Veres (Autom., 2018)

Proving the existence of loops in robot trajectories. - Simon Rohou; Peter Franek; Clément Aubry; Luc Jaulin (Int. J. Robotics Res., 2018)

Using Interval Analysis to Compute the Invariant Set of a Nonlinear Closed-Loop Control System. - Swantje Romig; Luc Jaulin; Andreas Rauh (Algorithms, 2019)

Thick gradual intervals: An alternative interpretation of type-2 fuzzy intervals and its potential use in type-2 fuzzy computations. - Reda Boukezzoula; Luc Jaulin; Laurent Foulloy (Eng. Appl. Artif. Intell., 2019)

Restricted Orientation Dubins Path With Application to Sailboats. - Ulysse Vautier; Christophe Viel; Jian Wan 002; Luc Jaulin; Robert Hone; Ming Dai (IEEE Robotics Autom. Lett., 2019)

Thick Separators. - Luc Jaulin; Benoît Desrochers (Decision Making under Constraints, 2020)

Towards a Generic Interval Solver for Differential-Algebraic CSP. - Simon Rohou; Abderahmane Bedouhene; Gilles Chabert; Alexandre Goldsztejn; Luc Jaulin; Bertrand Neveu; Victor Reyes; Gilles Trombettoni (CP, 2020)

Set-membership state estimation by solving data association. - Simon Rohou; Benoît Desrochers; Luc Jaulin (ICRA, 2020)

Non-linear control under state constraints with validated trajectories for a mobile robot towing a trailer. - Joris Tillet; Luc Jaulin; Fabrice Le Bars (IROS, 2020)

Characterizing Sliding Surfaces of Cyber-Physical Systems. - Luc Jaulin; Fabrice Le Bars (Acta Cybern., 2020)

Interval centred form for proving stability of non-linear discrete-time systems. - Auguste Bourgois; Luc Jaulin (SNR, 2020)

Enclosing the Sliding Surfaces of a Controlled Swing. - Luc Jaulin; Benoît Desrochers (SNR, 2020)

Bracketing backward reach sets of a dynamical system. - Thomas Le Mézo; Luc Jaulin; Benoît Zerr (Int. J. Control, 2020)

Platooning Control for Heterogeneous Sailboats Based on Constant Time Headway. - Christophe Viel; Ulysse Vautier; Jian Wan 002; Luc Jaulin (IEEE Trans. Intell. Transp. Syst., 2020)

An Interval Constraint Programming Approach for Quasi Capture Tube Validation. - Abderahmane Bedouhene; Bertrand Neveu; Gilles Trombettoni; Luc Jaulin; Stéphane Le Ménec (CP, 2021)

Ellipsoidal Enclosure Techniques for a Verified Simulation of Initial Value Problems for Ordinary Differential Equations. - Andreas Rauh; Auguste Bourgois; Luc Jaulin; Julia Kersten (ICCAD, 2021)

Interval Extended Kalman Filter - Application to Underwater Localization and Control. - Morgan Louédec; Luc Jaulin (Algorithms, 2021)

Union and Intersection Operators for Thick Ellipsoid State Enclosures: Application to Bounded-Error Discrete-Time State Observer Design. - Andreas Rauh; Auguste Bourgois; Luc Jaulin (Algorithms, 2021)

A Computationally Inexpensive Algorithm for Determining Outer and Inner Enclosures of Nonlinear Mappings of Ellipsoidal Domains. - Andreas Rauh; Luc Jaulin (Int. J. Appl. Math. Comput. Sci., 2021)

Thick gradual sets and their computations: Application for determining the uncertain zone explored by an underwater robot. - Reda Boukezzoula; Luc Jaulin; Benoît Desrochers; Laurent Foulloy (Eng. Appl. Artif. Intell., 2021)

A boundary approach for set inversion. - Luc Jaulin (Eng. Appl. Artif. Intell., 2021)

Robust Hybrid Interval-Probabilistic Approach for the Kidnapped Robot Problem. - Renata Neuland; Mathias Mantelli; Bernardo Hummes; Luc Jaulin; Renan Maffei; Edson Prestes; Mariana Luderitz Kolberg (Int. J. Uncertain. Fuzziness Knowl. Based Syst., 2021)

Interval Inspired Approach Based on Temporal Sequence Constraints to Place Recognition. - Renata Neuland; Fernanda Rodrigues; Diego Pittol; Luc Jaulin; Renan Maffei; Mariana Luderitz Kolberg; Edson Prestes (J. Intell. Robotic Syst., 2021)

Exact bounded-error continuous-time linear state estimator. - Simon Rohou; Luc Jaulin (Syst. Control. Lett., 2021)

Thick Fuzzy Sets (TFSs) and Their Potential Use in Uncertain Fuzzy Computations and Modeling. - Reda Boukezzoula; Luc Jaulin; Benoît Desrochers; Didier Coquin (IEEE Trans. Fuzzy Syst., 2021)

Experimental Studies of Autonomous Sailing With a Radio Controlled Sailboat. - Augustin Morge; Virgile Pelle; Jian Wan 002; Luc Jaulin (IEEE Access, 2022)

Actions of the hyperoctahedral group to compute minimal contractors. - Luc Jaulin (Artif. Intell., 2022)

Kleene Algebra to Compute Invariant Sets of Dynamical Systems. - Thomas Le Mézo; Luc Jaulin; Damien Massé; Benoît Zerr (Algorithms, 2022)

Experimental Validation of Ellipsoidal Techniques for State Estimation in Marine Applications. - Andreas Rauh; Yohann Gourret; Katell Lagattu; Bernardo Hummes; Luc Jaulin; Johannes Reuter; Stefan Wirtensohn; Patrick Hoher (Algorithms, 2022)

Algorithms for Reliable Estimation, Identification and Control. - Andreas Rauh; Luc Jaulin; Julien Alexandre Dit Sandretto (Algorithms, 2022)

Lie symmetries applied to interval integration. - Julien Damers; Luc Jaulin; Simon Rohou (Autom., 2022)

A new methodology for solving fuzzy systems of equations: Thick fuzzy sets based approach. - Reda Boukezzoula; Luc Jaulin; Didier Coquin (Fuzzy Sets Syst., 2022)

Hybrid Interval-Probabilistic Localization in Building Maps. - Aaronkumar Ehambram; Luc Jaulin; Bernardo Wagner (IEEE Robotics Autom. Lett., 2022)

Verifying Provable Stability Domains for Discrete-Time Systems Using Ellipsoidal State Enclosures. - Andreas Rauh; Auguste Bourgois; Luc Jaulin (Acta Cybern., 2022)

Computational tractable guaranteed numerical method to study the stability of n-dimensional time-independent nonlinear systems with bounded perturbation. - Morgan Louédec; Luc Jaulin; Christophe Viel (Autom., 2023)

Optimal separator for an ellipse; Application to localization. - Luc Jaulin (CoRR, 2023)

Optimal separator for an hyperbola; Application to localization. - Luc Jaulin (CoRR, 2023)

Karush-Kuhn-Tucker conditions to build efficient contractors; Application to TDoA localization. - Luc Jaulin (CoRR, 2023)

Asymptotically minimal contractors based on the centered form;Application to the stability analysis of linear systems. - Luc Jaulin (CoRR, 2023)

Offline and Online Use of Interval and Set-Based Approaches for Control and State Estimation: A Review of Methodological Approaches and Their Application. - Andreas Rauh; Marit Lahme; Simon Rohou; Luc Jaulin; Thach Ngoc Dinh; Tarek Raïssi; Mohamed Fnadi (CoRR, 2023)

Inertial control of a spinning flat disk. - Luc Jaulin (CoRR, 2023)

Modelisation of a rolling disk with Sympy. - Luc Jaulin (CoRR, 2023)

Proving the Stability of the Rolling Navigation. - Auguste Bourgois; Amine Chaabouni; Andreas Rauh; Luc Jaulin (Acta Cybern., 2023)

Inner and outer characterization of the projection of polynomial equations using symmetries, quotients and intervals. - Luc Jaulin (Int. J. Approx. Reason., 2023)

Brunovsky Decomposition for Dynamic Interval Localization. - Simon Rohou; Luc Jaulin (IEEE Trans. Autom. Control., 2023)

A New Interval Arithmetic to Generate the Complementary of Contractors. - Pierre Filiol; Théotime Bollengier; Luc Jaulin; Jean-Christophe Le Lann (Acta Cybern., 2024)

RISC-V Based Hardware Acceleration of Interval Contractor Primitives in the Context of Mobile Robotics. - Pierre Filiol; Théotime Bollengier; Luc Jaulin; Jean-Christophe Le Lann (Acta Cybern., 2024)

Asymptotically Minimal Contractors Based on the Centered Form. - Luc Jaulin (Acta Cybern., 2024)

Modeling and control of the rodwheel. - Luc Jaulin (CoRR, 2024)

Interval-based validation of a nonlinear estimator. - Maël Godard; Luc Jaulin; Damien Massé (CoRR, 2024)

Estimating the coverage measure and the area explored by a line-sweep sensor on the plane. - Maria Luiza Costa Vianna; Eric Goubault; Luc Jaulin; Sylvie Putot (Int. J. Approx. Reason., 2024)

Reducing the wrapping effect of set computation via Delaunay triangulation for guaranteed state estimation of nonlinear discrete-time systems. - Jian Wan 002; Luc Jaulin (Computing, 2024)

Efficient Hardware Primitives for Interval Contractors in Robotics and Integration to a Custom RISC-V ISA Extension. - Pierre Filiol; Théotime Bollengier; Luc Jaulin; Jean-Christophe Le Lann (NewCAS, 2025)

Integral algebra for simulating dynamical systems with interval uncertainties. - Luc Jaulin (Int. J. Approx. Reason., 2025)