Stabilization of Nonlinear Systems with State-Dependent Representation: From Model-Based to Direct Data-Driven Control

arXiv:2510.16451 · eess.SY, cs.SY · Submitted 2025-10-18 · Read on arXiv

eess.SY, cs.SY

Submitted: 2025-10-18

Updated: 2026-10-12

Project page: https://nus-core.github.io/assets/standalone/AxxBxu/index.html

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Robustness — 3× in this paper · explained in 5 episodes

Sources

• Data-driven stabilization of polynomial systems using density functions
• Data-driven stabilizer design and closed-loop analysis of general nonlinear systems via Taylor's expansion
• SafEDMD: A Koopman-based data-driven controller design framework for nonlinear dynamical systems
• Data-driven Stabilization of SISO Feedback Linearizable Systems
• XTDrone: A Customizable Multi-Rotor UAVs Simulation Platform

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