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math.OC2019
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…
math.OC2018★ 3 cited
Infinite-dimensional bilinear and stochastic balanced truncation with error bounds
Simon Becker, Carsten Hartmann
Along the ideas of Curtain and Glover, we extend the balanced truncation method for infinite-dimensional linear systems to bilinear and stochastic systems. Specifically , we apply…