$\mathscr{H}_{2}$ model order reduction for bilinear systems based on the cross gramian

DOI10.1093/imamci/dnw029zbMath1397.93040OpenAlexW2498083155MaRDI QIDQ4684080

Yao-Lin Jiang, Kang-Li Xu, Ping Yang

Publication date: 27 September 2018

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamci/dnw029

zbMATH Keywords

bilinear systemsnecessary conditionspartial derivativemodel order reductioncross Gramian\(\mathcal{H}_{2}\) optimality

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) System structure simplification (93B11) Realizations from input-output data (93B15) Software, source code, etc. for problems pertaining to systems and control theory (93-04)

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