Riemannian optimization approach to structure-preserving model order reduction of integral-differential systems on the product of two Stiefel manifolds
DOI10.1016/j.jfranklin.2022.04.012zbMath1491.93020OpenAlexW4224444018WikidataQ115346452 ScholiaQ115346452MaRDI QIDQ2148453
Publication date: 24 June 2022
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2022.04.012
Riemannian geometryStiefel manifold\(\mathcal{H}_2\) optimal model order reductionintegral-differential systems
Geometric methods (93B27) System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15)
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Cites Work
- Unnamed Item
- Passivity-preserving model reduction with finite frequency \(H_\infty\) approximation performance
- Krylov-subspace methods for reduced-order modeling in circuit simulation
- On \(H_2\) model reduction of bilinear systems
- Riemannian optimal model reduction of linear port-Hamiltonian systems
- Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
- Model order reduction based on general orthogonal polynomials in the time domain for coupled systems
- Structure-preserving model order reduction by general orthogonal polynomials for integral-differential systems
- Positivity-preserving \(H_\infty\) model reduction for positive systems
- An approach to \(H_{2,\omega}\) model reduction on finite interval for bilinear systems
- Second-order balanced truncation
- Order reduction of large scale second-order systems using Krylov subspace methods
- Families of moment matching based, structure preserving approximations for linear port Hamiltonian systems
- Structure-Preserving Model Reduction for Integro-Differential Equations
- Dimension reduction for second-order systems by general orthogonal polynomials
- Frequency-Limited <inline-formula> <tex-math notation="TeX">${\mmb H}_{\infty}$</tex-math></inline-formula> Model Reduction for Positive Systems
- Frequency-Interval Model Reduction of Bilinear Systems
- $\mathcal{H}_2$-Optimal Model Reduction with Higher-Order Poles
- Krylov-Based Model Order Reduction of Time-delay Systems
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- An approximate approach to H/sup 2/ optimal model reduction
- Structure-Preserving $H^2$ Optimal Model Reduction Based on the Riemannian Trust-Region Method
- Frequency-Limited Reduced Models for Linear and Bilinear Systems on the Riemannian Manifold
- Riemannian Modified Polak--Ribière--Polyak Conjugate Gradient Order Reduced Model by Tensor Techniques
- Structure preserving balanced proper orthogonal decomposition for second‐order form systems via shifted Legendre polynomials
- A new, globally convergent Riemannian conjugate gradient method
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