On H2 model reduction of bilinear systems

L Zhang, J Lam - Automatica, 2002 - Elsevier
… H 2 model reduction method is proposed by first defining the H 2 norm of bilinear systems. …
with respect to the parameters of the reduced order model are established. Then an optimal …

Interpolation-Based -Model Reduction of Bilinear Control Systems

P Benner, T Breiten - SIAM Journal on Matrix Analysis and Applications, 2012 - SIAM
… on optimal H2-model reduction for linear systems. … H2-norm for bilinear systems, initially
introduced in [31]. Here, we present an alternative computation of the norm of the error system

Interpolation methods for the model reduction of bilinear systems

GM Flagg - 2012 - vtechworks.lib.vt.edu
… the Volterra kernels of the full model. We show that this approach … H2 model reduction
problem for bilinear systems. In our second approach, we construct a solution to a bilinear system

Multipoint Volterra Series Interpolation and Optimal Model Reduction of Bilinear Systems

G Flagg, S Gugercin - SIAM Journal on Matrix Analysis and Applications, 2015 - SIAM
… for interpolatory model reduction of bilinear systems. In … for optimal H2 model reduction of
bilinear systems require … conditions for H2 optimality of LTI systems to the bilinear case. Finally, …

An approach to H2, ω model reduction on finite interval for bilinear systems

KL Xu, YL Jiang - Journal of the Franklin Institute, 2017 - Elsevier
… norm for the bilinear system can be … -reduced bilinear system to be H 2, ω optimal are
derived. Thereby, an iterative algorithm is proposed to construct the order-reduced bilinear system

H2 model order reduction of bilinear systems via linear matrix inequality approach

H Nasiri Soloklo, N Bigdeli - IET Control Theory & Applications, 2023 - Wiley Online Library
… -optimal model order reduction (MOR) method for bilinear systems … , to reduce the
computational complexity, at first, a reduced … of the system is derived based on common bilinear

Multipoint interpolation of Volterra series and H2-model reduction for a family of bilinear descriptor systems

P Benner, P Goyal - Systems & Control Letters, 2016 - Elsevier
… to model reduction of bilinear descriptor systems with … model reduction techniques for bilinear
descriptor systems with singular matrix E . The interpolation conditions for bilinear systems

A trust-region method for H2 model reduction of bilinear systems on the Stiefel manifold

P Yang, YL Jiang, KL Xu - Journal of the Franklin Institute, 2019 - Elsevier
… Riemannian trust-region method for H 2 model reduction of bilinear systems. The H 2 error
norm is … The trust-region method for H 2 model reduction is accordingly established and the …

H2 order-reduction for bilinear systems based on Grassmann manifold

KL Xu, YL Jiang, ZX Yang - Journal of the Franklin Institute, 2015 - Elsevier
model reduction method for bilinear systems. In Section 3, for bilinear systems, we focus on
the H 2 model reduction … descent model reduction algorithm and a conjugate gradient model

[PDF][PDF] System-Theoretic Model Order Reduction for Bilinear and Quadratic-Bilinear Control Systems

PK Goyal - 2018 - pure.mpg.de
… -type model reduction for bilinear and QB control systems. We … energy functions of bilinear
systems and introduce a concept of … truncation model reduction technique for QB systems by …