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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.OC2021
Multivariate moment matching for model order reduction of quadratic-bilinear systems using error bounds
Muhammad Altaf Khattak, Mian Ilyas Ahmad, Lihong Feng +1
We propose an adaptive moment-matching framework for model order reduction of quadratic-bilinear descriptor systems. In this framework, an important issue is the selection of those…