Guillaume Berger

Ph.D. student, mathematical engineering
Member of ICTEAM Institute,
Applied mathematics department,
Université Catholique of Louvain (UCLouvain)
FNRS/FRIA Research fellow

Research interests

My area of research is the analysis, control, and optimization of complex systems, like Cyber-Physical Systems and Hybrid Systems. Until now, I have been mainly working on Switched Linear Systems, a prototypical class of cyber-physical and hybrid systems. My previous research includes:

• The study of $p$-dominance—a generalization of the notions of positivity, and slow and fast modes—for switched linear systems. This finds applications for instance in the study of the convergence of such systems to low-dimensional subspaces (e.g., for consensus, "model order reduction").

• Quantized control of switched linear systems. This involves determining the minimal data rate needed by an observer or a controller, to observe the state of the system or to achieve a given control task. This is relevant for instance for the control of systems over communication networks, as it is the case in more and more cyber-physical systems.

News

[5/2021] Our paper $p$-dominant switched linear systems was accepted for publication in Automatica

[4/2021] Our paper Worst-case topological entropy and minimal data rate for state observation of switched linear systems was selected for publication in Communications of the ACM Research Highlights (https://cacm.acm.org)

[3/2021] Our paper Chance-constrained quasi-convex optimization with application to data-driven switched systems control was accepted for presentation at 2021 3rd Annual Learning for Dynamics & Control Conference (June 2021)

[3/2021] Our paper Bounds on set exit times of affine systems, using Linear Matrix Inequalities was accepted for presentation at 2021 7th IFAC Conference on Analysis and Design of Hybrid Systems (July 2021)

[7/2020] Our paper Finite data-rate feedback stabilization of continuous-time switched linear systems with unknown switching signal was accepted for presentation at 2020 59th Conference on Decision and Control (December 2020)

[5/2020] Our paper Quantized stabilization of continuous-time switched linear systems was accepted for publication in IEEE Control Systems Letters

[4/2020] Our paper Worst-case topological entropy and minimal data rate for state observation of switched linear systems got the ACM SIGBED BEST PAPER AWARD!

[2/2020] Our paper Topological entropy and minimal data rate for state observation of LTV systems was accepted for presentation at 2020 21st IFAC World Congress (July 2020)

See here