Riemannian optimal model reduction of linear port-Hamiltonian systems

DOI10.1016/j.automatica.2018.03.051zbMath1400.93045OpenAlexW2796074318WikidataQ115360085 ScholiaQ115360085MaRDI QIDQ1797044

Kazuhiro Sato

Publication date: 17 October 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2018.03.051

zbMATH Keywords

Riemannian optimization\(H^2\) optimal model reductionlinear port-Hamiltonian system

Mathematics Subject Classification ID

Linear systems in control theory (93C05) 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

Riemannian optimization approach to structure-preserving model order reduction of integral-differential systems on the product of two Stiefel manifolds, Passivity preserving model reduction via spectral factorization, A Riemannian optimization approach to the radial distribution network load flow problem, Optimization-based model order reduction of port-Hamiltonian descriptor systems

Uses Software

• Manopt

Cites Work

• Unnamed Item
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• Trust-region methods on Riemannian manifolds
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• Structure-Preserving Model Reduction for Nonlinear Port-Hamiltonian Systems
• Manopt, a Matlab toolbox for optimization on manifolds
• $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
• An approximate approach to H/sup 2/ optimal model reduction
• Riemannian Optimal Control and Model Matching of Linear Port-Hamiltonian Systems
• Structure-Preserving $H^2$ Optimal Model Reduction Based on the Riemannian Trust-Region Method