mlsanityData to 14 Oct 2026

Formulas for Data-driven Control: Stabilization, Optimality and Robustness

arXiv 1903.06842 ↗First posted 15 Mar 2019eess.SY cs.SY math.OCcited by 47

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Abstract (arXiv)

In a paper by Willems and coauthors it was shown that persistently exciting data can be used to represent the input-output behavior of a linear system. Based on this fundamental result, we derive a parametrization of linear feedback systems that paves the way to solve important control problems using data-dependent Linear Matrix Inequalities only. The result is remarkable in that no explicit system's matrices identification is required. The examples of control problems we solve include the state and output feedback stabilization, and the linear quadratic regulation problem. We also discuss robustness to noise-corrupted measurements and show how the approach can be used to stabilize unstable equilibria of nonlinear systems.

Key facts. Cited by 47 papers in the map (data through 14 Oct 2026). First posted on arXiv 15 Mar 2019.

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Citing papers per year: 2021: 6; 2022: 5; 2023: 6; 2024: 9; 2025: 14; 2026: 7.

47 papers.

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  2. 2021Data-Driven Reachability Analysis from Noisy Datacited by 14
  3. 2022On the sample complexity of stabilizing linear dynamical systems from datacited by 8
  4. 2021Symbolic Abstractions From Data: A PAC Learning Approachcited by 6
  5. 2025Policy Gradient Adaptive Control for the LQR: Indirect and Direct Approachescited by 5
  6. 2021Robust Data-Driven Predictive Control using Reachability Analysiscited by 3
  7. 2022Context-aware controller inference for stabilizing dynamical systems from scarce datacited by 3
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  9. 2024Combining Federated Learning and Control: A Surveycited by 3
  10. 2025Offline Reinforcement Learning via Inverse Optimizationcited by 3
  11. 2022Data-Driven Linear Koopman Embedding for Networked Systems: Model-Predictive Grid Controlcited by 2
  12. 2023An Efficient Off-Policy Reinforcement Learning Algorithm for the Continuous-Time LQR Problemcited by 2
35 more
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  3. 2024Learning to Stabilize Unknown LTI Systems on a Single Trajectory under Stochastic Noisecited by 2
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  5. 2024Predictive Monitoring of Black-Box Dynamical Systemscited by 2
  6. 2025Linear Dynamics meets Linear MDPs: Closed-Form Optimal Policies via Reinforcement Learningcited by 2
  7. 2022Analysis and Detectability of Offline Data Poisoning Attacks on Linear Dynamical Systemscited by 1
  8. 2023On the Hardness of Learning to Stabilize Linear Systemscited by 1
  9. 2024Stability-Certified On-Policy Data-Driven LQR via Recursive Learning and Policy Gradientcited by 1
  10. 2025A New Perspective On AI Safety Through Control Theory Methodologiescited by 1
  11. 2025Data driven feedback linearization of nonlinear control systems via Lie derivatives and stacked regression approachcited by 1
  12. 2021A Secure Learning Control Strategy via Dynamic Camouflaging for Unknown Dynamical Systems under Attackscited by 0
  13. 2021Online Optimization and Ambiguity-based Learning of Distributionally Uncertain Dynamic Systemscited by 0
  14. 2021Discrete fully probabilistic design: towards a control pipeline for the synthesis of policies from examplescited by 0
  15. 2022Efficient Reinforcement Learning Through Trajectory Generationcited by 0
  16. 2023LMI-based Data-Driven Robust Model Predictive Controlcited by 0
  17. 2023Data-Driven Adversarial Online Control for Unknown Linear Systemscited by 0
  18. 2024MR-ARL: Model Reference Adaptive Reinforcement Learning for Robustly Stable On-Policy Data-Driven LQRcited by 0
  19. 2024Regret Analysis of Policy Optimization over Submanifolds for Linearly Constrained Online LQGcited by 0
  20. 2025Interpolation Conditions for Data Consistency and Prediction in Noisy Linear Systemscited by 0
  21. 2025Direct Data Driven Control Using Noisy Measurementscited by 0
  22. 2025An adaptive data sampling strategy for stabilizing dynamical systems via controller inferencecited by 0
  23. 2025Thompson Sampling-Based Learning and Control for Unknown Dynamic Systemscited by 0
  24. 2025Data-Driven Density Steering via the Gromov-Wasserstein Optimal Transport Distancecited by 0
  25. 2025Frequency Response Identification of Low-Order Systems: Finite-Sample Analysiscited by 0
  26. 2025SAFE--MA--RRT: Multi-Agent Motion Planning with Data-Driven Safety Certificatescited by 0
  27. 2025On the System Theoretic Offline Learning of Continuous-Time LQR with Exogenous Disturbancescited by 0
  28. 2025Robust Least-Squares Optimization for Data-Driven Predictive Control: A Geometric Approachcited by 0
  29. 2026Adaptive Control of Unknown Linear Switched Systems via Policy Gradient Methodscited by 0
  30. 2026On the Optimization Landscape of Observer-based Dynamic Linear Quadratic Controlcited by 0
  31. 2026Symplectic Inductive Bias for Data-Driven Target Reachability in Hamiltonian Systemscited by 0
  32. 2026Data-Driven Continuous-Time Linear Quadratic Regulator via Closed-Loop and Reinforcement Learning Parameterizationscited by 0
  33. 2026k-Inductive Neural Barrier Certificates for Unknown Nonlinear Dynamicscited by 0
  34. 2026Model-Based and Data-Driven Hierarchical Control and Topology Co-Design for Robust Networked Systemscited by 0
  35. 2026Atoms to Processes: The Role of Artificial Intelligence and Machine Learning in Chemical Engineeringcited by 0