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active set analysis 1bayesian inference 1digital twins 1output-feedback stabilization 1parameter identification 1probability distribution of gradients 1semiconcave functions 1smooth approximation 1uncertain linear dynamics 1variational problems 1

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math.DS2025

Deterministic Kalman filters for uncertain dynamical systems

Karl Kunisch, Jesper Schröder

The Kalman(-Bucy) filter is the natural choice for the state reconstruction of disturbed, linear dynamical systems based on flawed and incomplete measurements. Taking a determinist…