A trust-region method for \(H_2\) model reduction of bilinear systems on the Stiefel manifold

DOI10.1016/j.jfranklin.2019.01.024zbMath1409.93017OpenAlexW2909021186WikidataQ128537591 ScholiaQ128537591MaRDI QIDQ1730081

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

Publication date: 11 March 2019

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2019.01.024

zbMATH Keywords

model reductionbilinear systems\(H_2\)-optimalityRiemannian trust-region method

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15) Software, source code, etc. for problems pertaining to systems and control theory (93-04)

Related Items (5)

Optimizing Oblique Projections for Nonlinear Systems using Trajectories ⋮ Time domain model order reduction of discrete-time bilinear systems with Charlier polynomials ⋮ Relative error-based time-limited \(\mathcal{H}_2\) model order reduction via oblique projection ⋮ Effective algorithms for solving trace minimization problem in multivariate statistics ⋮ Riemannian Modified Polak--Ribière--Polyak Conjugate Gradient Order Reduced Model by Tensor Techniques

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