14 citations · 21 across the 21 of their papers we have counts for
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Error bounds for model reduction of feedback-controlled linear stochastic dynamics on Hilbert spaces
Simon Becker, Carsten Hartmann, Martin Redmann +1
We analyze structure-preserving model order reduction methods for Ornstein-Uhlenbeck processes and linear S(P)DEs with multiplicative noise based on balanced truncation. For the fi…
Bilinear systems -- A new link to -norms, relations to stochastic systems and further properties
Martin Redmann
In this paper, we prove several new results that give new insights into bilinear systems. We discuss conditions for asymptotic stability using probabilistic arguments. Moreover, we…
An -error bound for time-limited balanced truncation
Martin Redmann
Model order reduction (MOR) is often applied to spatially-discretized partial differential equations to reduce their order and hence decrease computational complexity. A reduced sy…
A new type of singular perturbation approximation for stochastic bilinear systems
Martin Redmann
Model order reduction (MOR) techniques are often used to reduce the order of spatially-discretized (stochastic) partial differential equations and hence reduce computational comple…