Behavioral systems theory in data-driven analysis, signal processing, and control

I Markovsky, F Dörfler - Annual Reviews in Control, 2021 - Elsevier
The behavioral approach to systems theory, put forward 40 years ago by Jan C. Willems,
takes a representation-free perspective of a dynamical system as a set of trajectories. Till …

[HTML][HTML] Trade-offs in learning controllers from noisy data

A Bisoffi, C De Persis, P Tesi - Systems & Control Letters, 2021 - Elsevier
In data-driven control, a central question is how to handle noisy data. In this work, we
consider the problem of designing a stabilizing controller for an unknown linear system …

Data-driven controller synthesis of unknown nonlinear polynomial systems via control barrier certificates

A Nejati, B Zhong, M Caccamo… - Learning for Dynamics …, 2022 - proceedings.mlr.press
In this work, we propose a data-driven approach to synthesize safety controllers for
continuous-time nonlinear polynomial-type systems with unknown dynamics. The proposed …

Data-based transfer stabilization in linear systems

L Li, C De Persis, P Tesi… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
We present a novel framework for transferring the knowledge from one system (source) to
design a stabilizing controller for a second system (target). Our motivation stems from the …

From a single trajectory to safety controller synthesis of discrete-time nonlinear polynomial systems

B Samari, O Akbarzadeh, M Zaker… - IEEE Control Systems …, 2024 - ieeexplore.ieee.org
This work is concerned with developing a data-driven approach for learning control barrier
certificates (CBCs) and associated safety controllers for discrete-time input-affine nonlinear …

Robust data-driven predictive control using reachability analysis

A Alanwar, Y Stürz, KH Johansson - European Journal of Control, 2022 - Elsevier
We present a robust data-driven control scheme for an unknown linear system model with
bounded process and measurement noise. Instead of depending on a system model in …

[HTML][HTML] Data-driven design of safe control for polynomial systems

A Luppi, A Bisoffi, C De Persis, P Tesi - European Journal of Control, 2024 - Elsevier
We consider the safe control problem of designing a robustly invariant set using only a finite
set of data collected from an unknown input-affine polynomial system in continuous time. We …

[HTML][HTML] Data-driven stabilization of switched and constrained linear systems

M Bianchi, S Grammatico, J Cortés - Automatica, 2025 - Elsevier
We consider the design of state feedback control laws for both the switching signal and the
continuous input of an unknown switched linear system, given past noisy input-state …

Data-driven synthesis of safety controllers via multiple control barrier certificates

A Nejati, M Zamani - IEEE Control Systems Letters, 2023 - ieeexplore.ieee.org
This letter proposes a data-driven framework to synthesize safety controllers for nonlinear
systems with finite input sets and unknown mathematical models. The proposed scheme …

From data to control: A formal compositional framework for large-scale interconnected networks

O Akbarzadeh, A Nejati, A Lavaei - arXiv preprint arXiv:2409.12469, 2024 - arxiv.org
We introduce a compositional data-driven methodology for designing fully-decentralized
safety controllers applicable to large-scale interconnected networks, encompassing …