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math.OC2023
Numerical realization of the Mortensen observer via a Hessian-augmented polynomial approximation of the value function
Tobias Breiten, Karl Kunisch, Jesper Schröder
Two related numerical schemes for the realization of the Mortensen observer or minimum energy estimator for the state reconstruction of non-linear dynamical systems subject to dete…
math.OC2023
Local well-posedness of the Mortensen observer
Tobias Breiten, Jesper Schröder
The analytical background of nonlinear observers based on minimal energy estimation is discussed. It is shown that locally the derivation of the observer equation based on a trajec…
math.OC2023★ 1 cited
On the approximability of Koopman-based operator Lyapunov equations
Tobias Breiten, Bernhard Höveler
Lyapunov functions play a vital role in the context of control theory for nonlinear dynamical systems. Besides its classical use for stability analysis, Lyapunov functions also ari…