Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms
From MaRDI portal
Publication:5014018
DOI10.1007/978-3-030-72983-7_7zbMath1480.93052arXiv2002.12226OpenAlexW3007859992MaRDI QIDQ5014018
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/2002.12226
observability Gramiancontrollability Gramianempirical Gramians for linear systemsGramian-based model reduction
Controllability (93B05) Linear systems in control theory (93C05) Observability (93B07) System structure simplification (93B11)
Related Items (2)
Data-Driven Balancing of Linear Dynamical Systems ⋮ Model order reduction for gas and energy networks
Uses Software
Cites Work
- Structured controllers for uncertain systems. A stochastic optimization approach
- \(L_ 1\) impulse response error bound for balanced truncation
- Model reduction for control system design
- The Sylvester equation and approximate balanced reduction
- Cross-Gramian-based combined state and parameter reduction for large-scale control systems
- \texttt{emgr} -- the empirical Gramian framework
- Cross-Gramian-based dominant subspaces
- A unified software framework for empirical Gramians
- Algorithms for model reduction of large dynamical systems
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- pyMOR -- Generic Algorithms and Interfaces for Model Order Reduction
- Interpolatory Projection Methods for Parameterized Model Reduction
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- The Hankel operator and its induced norms
- Truncated balanced realization of a stable non-minimal state-space system
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- Model reduction via balanced state space representations
- Singular perturbational model reduction of balanced systems
- The area enclosed by the (oriented) Nyquist diagram and the Hilbert-Schmidt-Hankel norm of a linear system
- A Schur method for balanced-truncation model reduction
- Model-order reduction by dominant subspace projection: error bound, subspace computation, and circuit applications
- On the structure of balanced and other principal representations of SISO systems
- A Non-stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction
- A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles
- Mathematical Description of Linear Dynamical Systems
- Approximation of Large-Scale Dynamical Systems
- Reduced Basis Methods: From Low-Rank Matrices to Low-Rank Tensors
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms