An unconstrained H 2 model order reduction optimisation algorithm based on the Stiefel manifold for bilinear systems

DOI10.1080/00207179.2017.1376115zbMath1416.93041OpenAlexW2753792589MaRDI QIDQ5382606

Yao-Lin Jiang, Kang-Li Xu

Publication date: 18 June 2019

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2017.1376115

zbMATH Keywords

Riemannian metricStiefel manifoldcost functionbilinear systemsmodel order reduction\(H_2\) normcontrollability and observability gramians

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Observability (93B07) System structure simplification (93B11) Control/observation systems in abstract spaces (93C25)

Related Items (2)

Optimizing Oblique Projections for Nonlinear Systems using Trajectories ⋮ Reduced-order modeling methods via bivariate discrete orthogonal polynomials for two-dimensional discrete state-delayed systems

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