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20232026
most citedData-Augmented Predictive Deep Neural Network: Enhancing the extrapolation capabilities of non-intrusive surrogate models

2 citations · 5 across the 8 of their papers we have counts for

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math.OC2024★ 1 cited

Estimates of the Kolmogorov n-width for nonlinear transformations with application to distributed-parameter control systems

Alexander Zuyev, Lihong Feng, Peter Benner

This paper aims at characterizing the approximability of bounded sets in the range of nonlinear operators in Banach spaces by finite-dimensional linear varieties. In particular, th…

math.OC2024

Iterative approximations of periodic trajectories for nonlinear systems with discontinuous inputs

Alexander Zuyev, Peter Benner

Nonlinear control-affine systems described by ordinary differential equations with bounded measurable input functions are considered. The solvability of general boundary value prob…