Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1—Philosophy, Features, and Application for (Parametric) Model Order Reduction
From MaRDI portal
Publication:5014035
DOI10.1007/978-3-030-72983-7_18zbMath1480.93048arXiv2003.02088OpenAlexW3012350807MaRDI QIDQ5014035
Martin Köhler, Peter Benner, Jens Saak
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/2003.02088
Linear systems in control theory (93C05) System structure simplification (93B11) Algebraic methods (93B25) Software, source code, etc. for problems pertaining to systems and control theory (93-04)
Related Items (4)
Robust output-feedback stabilization for incompressible flows using low-dimensional \(\mathcal{H}_{\infty}\)-controllers ⋮ Control of port-Hamiltonian differential-algebraic systems and applications ⋮ Balanced truncation model reduction with a priori error bounds for LTI systems with nonzero initial value ⋮ Input-Tailored System-Theoretic Model Order Reduction for Quadratic-Bilinear Systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations
- Efficient low-rank solution of generalized Lyapunov equations
- A non-conforming composite quadrilateral finite element pair for feedback stabilization of the Stokes equations
- RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations
- Parametric model order reduction with a small \(\mathcal H_2\)-error using radial basis functions
- Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case
- Adaptive high-order splitting schemes for large-scale differential Riccati equations
- Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems
- Large-scale Stein and Lyapunov equations, Smith method, and applications
- Computing real low-rank solutions of Sylvester equations by the factored ADI method
- Reduced order controllers for distributed parameter systems: LQG balanced truncation and an adaptive approach
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Analysis of the Rational Krylov Subspace Projection Method for Large-Scale Algebraic Riccati Equations
- A Computational Method for Symmetric Stein Matrix Equations
- A new subspace iteration method for the algebraic Riccati equation
- Low-Rank Second-Order Splitting of Large-Scale Differential Riccati Equations
- Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms
- An Online Method for Interpolating Linear Parametric Reduced-Order Models
- Interpolatory Projection Methods for Parameterized Model Reduction
- Linear-quadratic Gaussian balancing for model reduction of differential-algebraic systems
- A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations
- Convergence Analysis of Projection Methods for the Numerical Solution of Large Lyapunov Equations
- Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems
- Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- Truncated balanced realization of a stable non-minimal state-space system
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
- Computational Methods for Approximation of Large-Scale Dynamical Systems
- A Deflation Approach for Large-Scale Lur'e Equations
- An Efficient Method for Estimating the Optimal Dampers' Viscosity for Linear Vibrating Systems Using Lyapunov Equation
- Morembs—A Model Order Reduction Package for Elastic Multibody Systems and Beyond
- LQG-Balanced Truncation Low-Order Controller for Stabilization of Laminar Flows
- Balanced truncation model reduction of second-order systems
- On two numerical methods for the solution of large-scale algebraic Riccati equations
- Approximation of Large-Scale Dynamical Systems
- Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control
- RADI
This page was built for publication: Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1—Philosophy, Features, and Application for (Parametric) Model Order Reduction
