[BOOK][B] Model order reduction for differential-algebraic equations: a survey
In this paper, we discuss the model order reduction problem for descriptor systems, that is,
systems with dynamics described by differential-algebraic equations. We focus on linear …
systems with dynamics described by differential-algebraic equations. We focus on linear …
Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method
The solution of large-scale Lyapunov equations is a crucial problem for several fields of
modern applied mathematics. The low-rank Cholesky factor version of the alternating …
modern applied mathematics. The low-rank Cholesky factor version of the alternating …
An improved numerical method for balanced truncation for symmetric second-order systems
We consider balanced truncation model order reduction for symmetric second-order
systems. The occurring large-scale generalized and structured Lyapunov equations are …
systems. The occurring large-scale generalized and structured Lyapunov equations are …
[BOOK][B] Computational methods for approximation of large-scale dynamical systems
MM Uddin - 2019 - taylorfrancis.com
These days, computer-based simulation is considered the quintessential approach to
exploring new ideas in the different disciplines of science, engineering and technology …
exploring new ideas in the different disciplines of science, engineering and technology …
A comparison of second-order model order reduction methods for an artificial fishtail
In order to apply control theory in small autonomous vehicles, mathematical models with
small numbers of states are required for using the limited computational power in embedded …
small numbers of states are required for using the limited computational power in embedded …
SVD-based improvements for component mode synthesis in elastic multibody systems
The method of elastic multibody systems (EMBS) is used for dynamic simulations, where a
multitude of deformable bodies interact. An important step to achieve models yielding …
multitude of deformable bodies interact. An important step to achieve models yielding …
Structure-preserving interpolation of bilinear control systems
In this paper, we extendthe structure-preserving interpolatory model reduction framework,
originally developed for linear systems, to structured bilinear control systems. Specifically …
originally developed for linear systems, to structured bilinear control systems. Specifically …
Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model
Nowadays, mechanical engineers heavily depend on mathematical models for simulation,
optimization and controller design. In either of these tasks, reduced dimensional …
optimization and controller design. In either of these tasks, reduced dimensional …
Model order reduction based on system balancing
Weintroduce balancing-based model order reduction (MOR) techniques for large-scale
dynamical systems. We emphasize the efficient implementation of state-of-the-art techniques …
dynamical systems. We emphasize the efficient implementation of state-of-the-art techniques …
Model reduction of time-delay systems using position balancing and delay Lyapunov equations
Balanced truncation is a standard and very natural approach to approximate dynamical
systems. We present a version of balanced truncation for model order reduction of linear …
systems. We present a version of balanced truncation for model order reduction of linear …