Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model
DOI10.1080/13873954.2016.1218347zbMath1348.93025OpenAlexW2514357593WikidataQ115214667 ScholiaQ115214667MaRDI QIDQ2831114
Jens Saak, M. Monir Uddin, Peter Benner
Publication date: 2 November 2016
Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/13873954.2016.1218347
Lyapunov equationsbalanced truncationdifferential algebraic systemmodel-order reductionlarge-scalemechatronic system
Application models in control theory (93C95) System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15) Large-scale systems (93A15)
Related Items (4)
Cites Work
- Unnamed Item
- Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method
- Second-order balanced truncation
- Order reduction of large scale second-order systems using Krylov subspace methods
- An improved numerical method for balanced truncation for symmetric second-order systems
- Efficient balancing-based MOR for large-scale second-order systems
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- Direct Methods for Sparse Linear Systems
- Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations
- Truncated balanced realization of a stable non-minimal state-space system
- A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
- Balanced truncation model reduction of second-order systems
- Dimension Reduction of Large-Scale Second-Order Dynamical Systems via a Second-Order Arnoldi Method
- Balancing and model reduction for second-order form linear systems
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