A Link Between Gramian-Based Model Order Reduction and Moment Matching
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Publication:5014017
DOI10.1007/978-3-030-72983-7_6zbMath1480.93050arXiv2003.03101OpenAlexW3009718600MaRDI QIDQ5014017
Christian Bertram, Heike Fassbender
Publication date: 3 December 2021
Published in: Model Reduction of Complex Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.03101
Controllability (93B05) Linear systems in control theory (93C05) System structure simplification (93B11) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
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Cites Work
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- Model order reduction for linear and nonlinear systems: a system-theoretic perspective
- Solution of Lyapunov equations by alternating direction implicit iteration
- Model reduction via truncation: An interpolation point of view.
- Krylov-subspace methods for reduced-order modeling in circuit simulation
- A modified low-rank Smith method for large-scale Lyapunov equations
- A quadrature framework for solving Lyapunov and Sylvester equations
- The ADI iteration for Lyapunov equations implicitly performsH2pseudo-optimal model order reduction
- Solving Ordinary Differential Equations I
- Computational Methods for Linear Matrix Equations
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- On the implementation of implicit Runge-Kutta methods
- A subspace approach to balanced truncation for model reduction of nonlinear control systems
- Model Reduction and Approximation
- Low Rank Solution of Lyapunov Equations
- MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION
- Model Order Reduction by Balanced Proper Orthogonal Decomposition and by Rational Interpolation
- Geometric Numerical Integration
- Approximation of Large-Scale Dynamical Systems
- Implicit Runge-Kutta Processes
- Numerical Methods for Ordinary Differential Equations
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