A path-complete approach for optimal control of switched systems
Léa Ninite, Adrien Banse, Guillaume Berger, Raphaël Jungers
Submitted to Hybrid Systems: Computation and Control (HSCC), November 2025 [pdf]
On the differentiability of the value function of switched linear systems under arbitrary and controlled switching
Guillaume Berger
Submitted to European Control Conference (ECC), November 2025 [pdf]
The internal growth function: a more general PAC framework for scenario decision making
Guillaume Berger, Raphaël Jungers
Submitted to Transactions on Machine Learning Research, September 2025 [pdf]
CC-VPSTO: Chance-Constrained Via-Point-based Stochastic Trajectory Optimisation for safe and efficient online robot motion planning
Lara Brudermüller, Guillaume Berger, Julius Jankowski, Raunak Bhattacharyya, Raphaël Jungers, Nick Hawes
Submitted to International Journal of Robotics Research, August 2025 [pdf]
Improved compression bounds for scenario decision making Guillaume Berger
Submitted to IEEE Transactions on Automatic Control, July 2025 [pdf]
Synthesizing min-max control barrier functions for switched affine systems
Sara Kamali, Guillaume Berger, Sriram Sankaranarayanan
Submitted to Automatica, June 2025 [pdf]
Controlled supermartingale functions for stochastic differential equations: inference and applications
Masoumeh Ghanbarpour, Guillaume Berger, Sriram Sankaranarayanan
Conference on Decision and Control (CDC), 2025 [pdf]
A stochastic-optimization-based adaptive-sampling scheme for data-driven stability analysis of switched linear systems
Alexis Vuille, Guillaume Berger, Raphaël Jungers
Conference on Decision and Control (CDC), 2025 [pdf]
Online complexity estimation for repetitive scenario design
Guillaume Berger, Raphaël Jungers
Conference on Decision and Control (CDC), 2025 [pdf]
PAC learnability of scenario decision-making algorithms: necessary conditions and sufficient conditions
Guillaume Berger, Raphaël Jungers
IEEE Control Systems Letters, vol. 9, 2025 [pdf]
Polyhedral control Lyapunov functions for switched affine systems
Sara Kamali, Guillaume Berger, Sriram Sankaranarayanan
Hybrid Systems: Computation and Control (HSCC), 2025 [pdf]
Template-based piecewise affine regression
Guillaume Berger, Sriram Sankaranarayanan
Research Directions: Cyber-Physical Systems, vol. 2, 2024 [pdf]
Data-driven control of unknown switched linear systems using scenario optimization
Zheming Wang, Guillaume Berger, Raphaël Jungers
IEEE Transactions on Automatic Control, vol. 69, no. 11, 2024 [pdf]
Data-driven stability analysis of switched linear systems using adaptive sampling
Alexis Vuille, Guillaume Berger, Raphaël Jungers
Conference on Analysis and Design of Hybrid Systems (ADHS), 2024 [pdf]
Algorithms for identifying flagged and guarded linear systems
Guillaume Berger, Monal Narasimhamurthy, Sriram Sankaranarayanan
Hybrid Systems: Computation and Control (HSCC), 2024 [pdf] [slides]
Cone-based abstract interpretation for nonlinear positive invariant synthesis
Guillaume Berger, Masoumeh Ghanbarpour, Sriram Sankaranarayanan
Hybrid Systems: Computation and Control (HSCC), 2024 [pdf] [slides]
Counterexample-guided computation of polyhedral Lyapunov functions for piecewise linear systems
Guillaume Berger, Sriram Sankaranarayanan
Automatica, vol. 155, 111165, 2023 [pdf]
Template-based piecewise affine regression
Guillaume Berger, Sriram Sankaranarayanan
Learning for Dynamics & Control Conference (L4DC), 2023 [pdf] [poster]
Comments on "Data driven stability analysis of black-box switched linear systems"
Guillaume Berger, Zheming Wang
Automatica, vol. 142, 110412, 2022 [pdf]
Equivalent polyadic decompositions of matrix multiplication tensors
Guillaume Berger, P.-A. Absil, Lieven De Lathauwer, Raphaël Jungers, Marc Van Barel
Journal of Computational and Applied Mathematics, vol. 406, 113941, 2022 [pdf]
Worst-case topological entropy and minimal data rate for state observation of switched linear systems
Guillaume Berger, Raphaël Jungers
Communications of the ACM, vol. 65, no. 2, 2022 [pdf]
Verified path following using neural control Lyapunov functions
Alec Reed, Guillaume Berger, Sriram Sankaranarayanan, Christoffer Heckman
Conference on Robot Learning (CoRL), 2022 [pdf]
An algorithm for learning switched linear dynamics from data
Guillaume Berger, Monal Narasimhamurthy, Kandai Watanabe, Morteza Lahijanian, Sriram Sankaranarayanan
Neural Information Processing Systems (NeurIPS), 2022 [pdf]
Learning fixed-complexity polyhedral Lyapunov functions from counterexamples
Guillaume Berger, Sriram Sankaranarayanan
Conference on Decision and Control (CDC), 2022 [pdf]
Data-driven invariant subspace identification for black-box switched linear systems
Guillaume Berger, Raphaël Jungers, Zheming Wang
Conference on Decision and Control (CDC), 2022 [pdf]
-dominant switched linear systems
Guillaume Berger, Raphaël Jungers
Automatica, vol. 132, 109801, 2021 [pdf]
Quantized stabilization of continuous-time switched linear systems
Guillaume Berger, Raphaël Jungers
IEEE Control Systems Letters, vol. 5, no. 1, 2021 [pdf]
Complexity of the LTI system trajectory boundedness problem
Guillaume Berger, Raphaël Jungers
Conference on Decision and Control (CDC), 2021 [pdf]
Data-driven feedback stabilization of switched linear systems with probabilistic stability guarantees
Zheming Wang, Guillaume Berger, Raphaël Jungers
Conference on Decision and Control (CDC), 2021 [pdf]
Bounds on set exit times of affine systems, using Linear Matrix Inequalities
Guillaume Berger, Maben Rabi
Conference on Analysis and Design of Hybrid Systems (ADHS), 2021 [pdf]
Chance-constrained quasi-convex optimization with application to data-driven switched systems control
Guillaume Berger, Raphaël Jungers, Zheming Wang
Learning for Dynamics & Control Conference (L4DC), 2021 [pdf]
Dominated splitting and quantization of hybrid systems
Guillaume Berger
Ph.D. Dissertation, UCLouvain, August 2021 [pdf]
On the quality of first-order approximation of functions with Hölder continuous gradient
Guillaume Berger, P.-A. Absil, Raphaël Jungers, Yurii Nesterov
Journal of Optimization Theory and Applications, vol. 185, 2020 [pdf]
Formal methods for computing hyperbolic invariant sets for nonlinear systems
Guillaume Berger, Raphaël Jungers
IEEE Control Systems Letters, vol. 4, no. 1, 2020 [pdf]
Worst-case topological entropy and minimal data rate for state observation of switched linear systems
Guillaume Berger, Raphaël Jungers
Hybrid Systems: Computation and Control (HSCC), 2020 [pdf]
Finite data-rate feedback stabilization of continuous-time switched linear systems with unknown switching signal
Guillaume Berger, Raphaël Jungers
Conference on Decision and Control (CDC), 2020 [pdf]
Topological entropy and minimal data rate for state observation of LTV systems
Guillaume Berger, Raphaël Jungers
IFAC World Congress, 2020 [pdf]
A converse Lyapunov theorem for -dominant switched linear systems
Guillaume Berger, Raphaël Jungers
European Control Conference (ECC), 2019 [pdf]
Path-complete -dominant switching linear systems
Guillaume Berger, Fulvio Forni, Raphaël Jungers
Conference on Decision and Control (CDC), 2018 [pdf]