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Preprint Jul 2026

Integrating Deep Learning and Contraction Theory for Robust Nonlinear State Estimation via Unsupervised Scientific Machine Learning

A learning-based approach to determine both the observer's correction term and the contraction metric by incorporating the contraction requirements into the learning process and is extended to non-autonomous systems while keeping the correction term and contraction metric static to avoid generalization issues arising from time-dependent training.

Yasmine Marani, I. Filho, Eric Feron et al. · 0 citations