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math.OC2026
Tree-based solution representations for quadratic bilinear systems and their consequences in model order reduction
Martin Redmann
We investigate quadratic bilinear systems by developing novel tree-based representations of their solutions. The proposed framework decomposes the solution into a sequence of coupl…
math.OC2025
Signature-Based Universal Bilinear Approximations for Nonlinear Systems and Model Order Reduction
Martin Redmann, Justus Werner
This paper deals with non-Lipschitz nonlinear systems. Such systems can be approximated by a linear map of so-called signatures, which play a crucial role in the theory of rough pa…