Template-based piecewise affine regression
Guillaume Berger, Sriram Sankaranarayanan
To appear in Research Directions: Cyber-Physical Systems, 2024
Data-driven control of unknown switched linear systems using scenario optimization
Zheming Wang, Guillaume Berger, Raphaël Jungers
IEEE Transactions on Automatic Control, early access, 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]