Solution Concepts and Existence Results for Hybrid Systems with Continuous-time Inputs.

Pauline Bernard https://orcid.org/0000-0002-7710-0136

W. P. M. H. Heemels Romain Postoyan Pauline Bernard Koen J. A. Scheres Ricardo G. Sanfelice Solution Concepts and Existence Results for Hybrid Systems with Continuous-time Inputs. 2026 January abs/2601.11205 CoRR https://doi.org/10.48550/arXiv.2601.11205 db/journals/corr/corr2601.html#abs-2601-11205 streams/journals/corr

Valentin Alleaume Pauline Bernard Florent Di Meglio Saltation-Based analysis of estimation error in observers for hybrid systems with unknown jump times. 7437-7442 2025 CDC https://doi.org/10.1109/CDC57313.2025.11312843 conf/cdc/2025 db/conf/cdc/cdc2025.html#AlleaumeBM25 streams/conf/cdc

Pauline Bernard Mohamed Maghenem Reconstructing indistinguishable solutions via a set-valued KKL observer. 111703 2024 166 Autom. https://doi.org/10.1016/j.automatica.2024.111703 db/journals/automatica/automatica166.html#BernardM24 streams/journals/automatica

Gia Quoc Bao Tran Pauline Bernard Arbitrarily Fast Robust KKL Observer for Nonlinear Time-Varying Discrete Systems. 1520-1535 2024 March 69 IEEE Trans. Autom. Control. 3 https://doi.org/10.1109/TAC.2023.3328833 https://www.wikidata.org/entity/Q128169944 db/journals/tac/tac69.html#TranB24

Pauline Bernard Ricardo G. Sanfelice Semiglobal High-Gain Hybrid Observer for a Class of Hybrid Dynamical Systems With Unknown Jump Times. 5804-5819 2024 September 69 IEEE Trans. Autom. Control. 9 https://doi.org/10.1109/TAC.2024.3355324 https://www.wikidata.org/entity/Q129804449 db/journals/tac/tac69.html#BernardS24 streams/journals/tac

Gia Quoc Bao Tran Pauline Bernard Vincent Andrieu Daniele Astolfi Constructible Canonical Form and High-gain Observer in Discrete Time. 7003-7008 2024 CDC https://doi.org/10.1109/CDC56724.2024.10885959 conf/cdc/2024 db/conf/cdc/cdc2024.html#TranBAA24 Gia Quoc Bao Tran Sergio Garcia Pauline Bernard Florent Di Meglio Ricardo G. Sanfelice Towards Gluing KKL Observer for Hybrid Systems with Unknown Jump Times. 7092-7097 2024 CDC https://doi.org/10.1109/CDC56724.2024.10886607 conf/cdc/2024 db/conf/cdc/cdc2024.html#TranGBMS24

Lucas Brivadis Vincent Andrieu Pauline Bernard Ulysse Serres Further remarks on KKL observers. 105429 2023 February 172 Syst. Control. Lett. https://doi.org/10.1016/j.sysconle.2022.105429 db/journals/scl/scl172.html#BrivadisABS23

Gia Quoc Bao Tran Pauline Bernard Kalman-like Observer for Hybrid Systems with Linear Maps and Known Jump Times. 1865-1872 2023 CDC https://doi.org/10.1109/CDC49753.2023.10383629 conf/cdc/2023 db/conf/cdc/cdc2023.html#TranB23 Ruben Orsolle-Tyberg Pauline Bernard Pascal Combes Robust Sensorless Flux and Position Estimation for SynRMs. 1-7 2023 IECON https://doi.org/10.1109/IECON51785.2023.10312356 conf/iecon/2023 db/conf/iecon/iecon2023.html#OrsolleTybergBC23

Pauline Bernard Vincent Andrieu Daniele Astolfi Observer design for continuous-time dynamical systems. 224-248 2022 53 Annu. Rev. Control. https://doi.org/10.1016/j.arcontrol.2021.11.002 db/journals/arc/arc53.html#BernardAA22

Pauline Bernard Ricardo G. Sanfelice Observer design for hybrid dynamical systems with approximately known jump times. 110225 2022 141 Autom. https://doi.org/10.1016/j.automatica.2022.110225 db/journals/automatica/automatica141.html#BernardS22

Daniele Astolfi Pauline Bernard Romain Postoyan Lorenzo Marconi 0001 Constrained State Estimation for Nonlinear Systems: A Redesign Approach Based on Convexity. 824-839 2022 67 IEEE Trans. Autom. Control. 2 https://doi.org/10.1109/TAC.2021.3064537 db/journals/tac/tac67.html#AstolfiBPM22

Mario Spirito Pauline Bernard Lorenzo Marconi 0001 On the existence of robust functional KKL observers. 2982-2987 2022 ACC https://doi.org/10.23919/ACC53348.2022.9867611 conf/amcc/2022 db/conf/amcc/amcc2022.html#SpiritoBM22 Pauline Bernard Thomas Devos Al Kassem Jebai Philippe Martin 0001 Laurent Praly KKL observer design for sensorless induction motors. 1235-1242 2022 CDC https://doi.org/10.1109/CDC51059.2022.9992800 conf/cdc/2022 db/conf/cdc/cdc2022.html#BernardDJMP22 Gia Quoc Bao Tran Pauline Bernard Florent Di Meglio Lorenzo Marconi 0001 Observer Design based on Observability Decomposition for Hybrid Systems with Linear Maps and Known Jump Times. 1974-1979 2022 CDC https://doi.org/10.1109/CDC51059.2022.9993225 conf/cdc/2022 db/conf/cdc/cdc2022.html#TranBM022 Gia Quoc Bao Tran Pauline Bernard Lorenzo Marconi 0001 Observer Design for Hybrid Systems with Linear Maps and Known Jump Times. 115-159 2022 HANDY https://doi.org/10.1007/978-3-031-49555-7_6 conf/handy/2022 db/conf/handy/handy2022.html#TranB022

Pauline Bernard Nicola Mimmo Lorenzo Marconi 0001 On the Semi-Global Stability of an EK-Like Filter. 1771-1776 2021 5 IEEE Control. Syst. Lett. 5 https://doi.org/10.1109/LCSYS.2020.3044030 db/journals/csysl/csysl5.html#BernardMM21

Pauline Bernard Laurent Praly Estimation of Position and Resistance of a Sensorless PMSM: A Nonlinear Luenberger Approach for a Nonobservable System. 481-496 2021 66 IEEE Trans. Autom. Control. 2 https://doi.org/10.1109/TAC.2020.2981341 db/journals/tac/tac66.html#BernardP21

Michelangelo Bin Pauline Bernard Lorenzo Marconi 0001 Approximate Nonlinear Regulation via Identification-Based Adaptive Internal Models. 3534-3549 2021 66 IEEE Trans. Autom. Control. 8 https://doi.org/10.1109/TAC.2020.3020563 db/journals/tac/tac66.html#BinBM21

Nicola Mimmo Pauline Bernard Lorenzo Marconi 0001 Avalanche Victim Search via Robust Observers. 1450-1461 2021 29 IEEE Trans. Control. Syst. Technol. 4 https://doi.org/10.1109/TCST.2020.3016665 db/journals/tcst/tcst29.html#MimmoBM21

Pauline Bernard Nicola Mimmo Lorenzo Marconi 0001 On the semi-global stability of an EK-like Filter. 4123-4128 2021 ACC https://doi.org/10.23919/ACC50511.2021.9482859 conf/amcc/2021 db/conf/amcc/amcc2021.html#BernardMM21 Pauline Bernard Ricardo G. Sanfelice A Local Hybrid Observer for a Class of Hybrid Dynamical Systems with Linear Maps and Unknown Jump Times. 5362-5367 2021 CDC https://doi.org/10.1109/CDC45484.2021.9682924 conf/cdc/2021 db/conf/cdc/cdc2021.html#BernardS21 W. P. Maurice H. Heemels Pauline Bernard Koen J. A. Scheres Romain Postoyan Ricardo G. Sanfelice Hybrid Systems with Continuous-time Inputs: Subtleties in Solution Concepts and Existence Results. 5368-5373 2021 CDC https://doi.org/10.1109/CDC45484.2021.9683389 conf/cdc/2021 db/conf/cdc/cdc2021.html#HeemelsBSPS21 Vincent Andrieu Pauline Bernard Remarks about the numerical inversion of injective nonlinear maps. 5428-5434 2021 CDC https://doi.org/10.1109/CDC45484.2021.9683097 conf/cdc/2021 db/conf/cdc/cdc2021.html#AndrieuB21 Ilario Antonio Azzollini Michelangelo Bin Pauline Bernard Lorenzo Marconi 0001 Robust Frequency Estimation of Multi-Harmonic Signals. 2633-2638 2021 ECC https://doi.org/10.23919/ECC54610.2021.9654931 conf/eucc/2021 db/conf/eucc/eucc2021.html#AzzolliniBBM21

Pauline Bernard Lorenzo Marconi 0001 Hybrid implementation of observers in plant's coordinates with a finite number of approximate inversions and global convergence. 2020 111 Autom. https://doi.org/10.1016/j.automatica.2019.108654 https://www.wikidata.org/entity/Q126979113 db/journals/automatica/automatica111.html#BernardM20

Pauline Bernard Michelangelo Bin Lorenzo Marconi 0001 Adaptive output regulation via nonlinear Luenberger observer-based internal models and continuous-time identifiers. 109261 2020 122 Autom. https://doi.org/10.1016/j.automatica.2020.109261 db/journals/automatica/automatica122.html#BernardBM20

Pauline Bernard Al Kassem Jebai Philippe Martin 0001 Higher-order singular perturbations for control design with application to the control of induction motors. 769-776 2020 CDC https://doi.org/10.1109/CDC42340.2020.9304011 conf/cdc/2020 db/conf/cdc/cdc2020.html#BernardJM20 Louise da C. Ramos Florent Di Meglio Valéry Morgenthaler Luis Fernando Figueira da Silva Pauline Bernard Numerical design of Luenberger observers for nonlinear systems. 5435-5442 2020 CDC https://doi.org/10.1109/CDC42340.2020.9304163 conf/cdc/2020 db/conf/cdc/cdc2020.html#RamosMMSB20 Pauline Bernard Ricardo G. Sanfelice On Notions of Detectability and Observers for Hybrid Systems. 5767-5772 2020 CDC https://doi.org/10.1109/CDC42340.2020.9304274 conf/cdc/2020 db/conf/cdc/cdc2020.html#BernardS20 Nicola Mimmo Pauline Bernard Lorenzo Marconi 0001 Avalanche victim search via robust observers. 4066-4072 2020 ICRA https://doi.org/10.1109/ICRA40945.2020.9196646 conf/icra/2020 db/conf/icra/icra2020.html#MimmoBM20 Pauline Bernard Al Kassem Jebai Robust sensorless estimation of the position and magnet flux of PMSMs. 1082-1087 2020 IECON https://doi.org/10.1109/IECON43393.2020.9254486 conf/iecon/2020 db/conf/iecon/iecon2020.html#BernardJ20

Pauline Bernard Vincent Andrieu Luenberger Observers for Nonautonomous Nonlinear Systems. 270-281 2019 64 IEEE Trans. Autom. Control. 1 https://doi.org/10.1109/TAC.2018.2872202 https://www.wikidata.org/entity/Q129188165 db/journals/tac/tac64.html#BernardA19

Pauline Bernard Lorenzo Marconi 0001 Hybrid implementation of observers in initial coordinates with a finite number of approximate inversions and global convergence. 471-476 2019 ACC https://doi.org/10.23919/ACC.2019.8815160 conf/amcc/2019 db/conf/amcc/acc2019.html#BernardM19 Pauline Bernard Ricardo G. Sanfelice An Algorithm to Generate Solutions to Hybrid Dynamical Systems with Inputs. 2996-3001 2019 ACC https://doi.org/10.23919/ACC.2019.8815141 conf/amcc/2019 db/conf/amcc/acc2019.html#BernardS19

Michelangelo Bin Pauline Bernard Lorenzo Marconi 0001 Approximate Nonlinear Regulation via Identification-Based Adaptive Internal Models. 2019 abs/1907.05050 CoRR http://arxiv.org/abs/1907.05050 db/journals/corr/corr1907.html#abs-1907-05050

Pauline Bernard Laurent Praly Convergence of gradient observer for rotor position and magnet flux estimation of permanent magnet synchronous motors. 88-93 2018 94 Autom. https://doi.org/10.1016/j.automatica.2018.04.009 db/journals/automatica/automatica94.html#BernardP18

Pauline Bernard Vincent Andrieu Laurent Praly Expressing an Observer in Preferred Coordinates by Transforming an Injective Immersion into a Surjective Diffeomorphism. 2327-2352 2018 56 SIAM J. Control. Optim. 3 https://doi.org/10.1137/15M1037755 https://www.wikidata.org/entity/Q114074335 db/journals/siamco/siamco56.html#BernardAP18

Pauline Bernard Ricardo G. Sanfelice Observers for Hybrid Dynamical Systems with Linear Maps and Known Jump Times. 3140-3145 2018 CDC https://doi.org/10.1109/CDC.2018.8618937 conf/cdc/2018 db/conf/cdc/cdc2018.html#BernardS18 Pauline Bernard Observer design for nonlinear systems. (Synthèse d'observateur pour systèmes non linéaires). 2017 PSL Research University, Paris, France https://tel.archives-ouvertes.fr/tel-02094225

Pauline Bernard Laurent Praly Vincent Andrieu Observers for a non-Lipschitz triangular form. 301-313 2017 82 Autom. https://doi.org/10.1016/j.automatica.2017.04.054 db/journals/automatica/automatica82.html#BernardPA17

Pauline Bernard Laurent Praly Vincent Andrieu Hassan Hammouri On the triangular canonical form for uniformly observable controlled systems. 293-300 2017 85 Autom. https://doi.org/10.1016/j.automatica.2017.07.034 db/journals/automatica/automatica85.html#BernardPAH17

Pauline Bernard Luenberger observers for nonlinear controlled systems. 3676-3681 2017 CDC https://doi.org/10.1109/CDC.2017.8264200 conf/cdc/2017 db/conf/cdc/cdc2017.html#Bernard17 Pauline Bernard Laurent Praly Vincent Andrieu Tools for observers based on coordinate augmentation. 6324-6329 2015 CDC https://doi.org/10.1109/CDC.2015.7403215 conf/cdc/2015 db/conf/cdc/cdc2015.html#BernardPA15

Pauline Bernard Miroslav Krstic Adaptive output-feedback stabilization of non-local hyperbolic PDEs. 2692-2699 2014 50 Autom. 10 https://doi.org/10.1016/j.automatica.2014.09.001 https://www.wikidata.org/entity/Q59621496 db/journals/automatica/automatica50.html#BernardK14

Valentin Alleaume Vincent Andrieu Daniele Astolfi Ilario Antonio Azzollini Michelangelo Bin Lucas Brivadis Pascal Combes Thomas Devos Sergio Garcia Hassan Hammouri W. P. M. H. HeemelsW. P. Maurice H. Heemels Al Kassem Jebai Miroslav Krstic Mohamed Maghenem Lorenzo Marconi 0001 Philippe Martin 0001 Florent Di Meglio Nicola Mimmo Valéry Morgenthaler Ruben Orsolle-Tyberg Romain Postoyan Laurent Praly Louise da C. Ramos Ricardo G. Sanfelice Koen J. A. Scheres Ulysse Serres Luis Fernando Figueira da Silva Mario Spirito Gia Quoc Bao Tran