Lyapunov Stability Learning with Nonlinear Control via Inductive Biases

arXiv — cs.LGTuesday, November 4, 2025 at 5:00:00 AM
A recent study discusses the application of deep learning models to find control Lyapunov functions (CLFs) in dynamical systems, which is essential for ensuring stability in safety-critical applications. The research highlights the challenges faced by learners in treating Lyapunov conditions as complex constraints for optimization, making global convergence difficult. This work is significant as it explores innovative approaches to enhance stability in control systems, which can have far-reaching implications in various fields, including robotics and autonomous vehicles.
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