Sampling-free model reduction of systems with low-rank parameterization
From MaRDI portal
Publication:2026127
DOI10.1007/s10444-020-09825-8zbMath1464.93010OpenAlexW3107846856MaRDI QIDQ2026127
Zoran Tomljanović, Serkan Gugercin, Christopher A. Beattie
Publication date: 18 May 2021
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-020-09825-8
Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) System structure simplification (93B11) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15)
Related Items
Damping optimization of the excited mechanical system using dimension reduction ⋮ MWCAWE: a multivariate WCAWE approach for parametric model order reduction, and a sampling strategy for the bivariate case ⋮ Fast optimization of viscosities for frequency‐weighted damping of second‐order systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimization of material with modal damping
- Interpolatory weighted-\(\mathcal{H}_2\) model reduction
- Damped oscillations of linear systems. A mathematical introduction
- Matrix computations.
- A framework for the solution of the generalized realization problem
- Interpolatory projection methods for structure-preserving model reduction
- Damping optimization of parameter dependent mechanical systems by rational interpolation
- Parameter independent model order reduction
- Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems
- Parametric model order reduction of damped mechanical systems via the block Arnoldi process
- A certified model reduction approach for robust parameter optimization with PDE constraints
- Robust rational interpolation and least-squares
- An iterative SVD-Krylov based method for model reduction of large-scale dynamical systems
- Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.
- Algorithms for model reduction of large dynamical systems
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Accelerating Optimization of Parametric Linear Systems by Model Order Reduction
- Data-Driven Parametrized Model Reduction in the Loewner Framework
- Model Order Reduction for PDE Constrained Optimization
- Dimension reduction for damping optimization in linear vibrating systems
- Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system
- Interpolatory Projection Methods for Parameterized Model Reduction
- Reduced Order Modeling for Time-Dependent Optimization Problems with Initial Value Controls
- A transformation approach to stochastic model reduction
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- Vector Fitting for Matrix-valued Rational Approximation
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space
- On the Scalar Rational Interpolation Problem
- A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- Balanced Parametrization of Classes of Linear Systems
- Synthesis of minimum roundoff noise fixed point digital filters
- Model Reduction and Approximation
- Projected Nonlinear Least Squares for Exponential Fitting
- On Structure-Preserving Model Reduction for Damped Wave Propagation in Transport Networks
- Constant and switching gains in semi-active damping of vibrating structures
- Semi‐active ℋ∞ damping optimization by adaptive interpolation
- Quadrature-Based Vector Fitting for Discretized $\mathcal{H}_2$ Approximation
- Computing Transfer Function Dominant Poles of Large-Scale Second-Order Dynamical Systems
- Structure Preserving Moment Matching for Port-Hamiltonian Systems: Arnoldi and Lanczos
- The RKFIT Algorithm for Nonlinear Rational Approximation
- Optimal damping of selected eigenfrequencies using dimension reduction
- Proper orthogonal decomposition for optimality systems
- Reduced Basis Methods for Partial Differential Equations
- Approximation of Large-Scale Dynamical Systems
- The AAA Algorithm for Rational Approximation
This page was built for publication: Sampling-free model reduction of systems with low-rank parameterization
