Model Order Reduction for (Stochastic-) Delay Equations With Error Bounds

Simon Becker; Lorenz Richter

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arXiv · 2008.12288

Model Order Reduction for (Stochastic-) Delay Equations With Error Bounds

Simon Becker·Lorenz Richter

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Abstract

We analyze a structure-preserving model order reduction technique for delay and stochastic delay equations based on the balanced truncation method and provide a system theoretic interpretation. Transferring error bounds based on Hankel operators to delay systems, we find error estimates for the difference between the dynamics of the full and reduced model. This analysis also yields new error bounds for bilinear systems and stochastic systems with multiplicative noise and non-zero initial states.

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Simon Becker, Lorenz Richter. 2020-08-27. Model Order Reduction for (Stochastic-) Delay Equations With Error Bounds. https://arxiv.org/abs/2008.12288

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