bayesian inference 1digital twins 1dimension truncation 1error analysis 1lognormal random fields 1output-feedback stabilization 1parameter identification 1parametric partial differential equations 1uncertain linear dynamics 1uncertainty quantification 1
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math.OC2026
Dynamic output-feedback stabilization of uncertain linear dynamics via digital twins
Philipp A. Guth, Karl Kunisch, Sergio S. Rodrigues +1
The paper proposes a digital‑twin framework that runs alongside an uncertain linear system, using real‑time data to estimate the system state and parameters while generating a stab…
math.OC2026
Multilevel Stochastic Gradient Descent for Risk-Averse PDE-Constrained Optimization
Niklas Baumgarten, Philipp A. Guth, David Schneiderhan +1
We present recent advances in applying and analyzing multilevel stochastic gradient descent algorithms to risk-averse, three-dimensional PDE-constrained optimization problems. The…
math.OC2025
Approximation of risk-averse optimal feedback control
Philipp A. Guth, Karl Kunisch
The challenge of constructing feedback control laws for risk-averse optimal control of partial differential equations (PDEs) with random coefficients is addressed. The control obje…