منابع مشابه
Model Reduction of Large-Scale Dynamical Systems
Simulation and control are two critical elements of Dynamic Data-Driven Application Systems (DDDAS). Simulation of dynamical systems such as weather phenomena, when augmented with real-time data, can yield precise forecasts. In other applications such as structural control, the presence of real-time data relating to system state can enable robust active control. In each case, there is an ever i...
متن کاملModel reduction of large-scale systems by least squares
In this paper we introduce an approximation method for model reduction of large-scale dynamical systems. This is a projection which combines aspects of the SVD and Krylov based reduction methods. This projection can be efficiently computed using tools from numerical analysis, namely the rational Krylov method for the Krylov side of the projection and a lowrank Smith type iteration to solve a Ly...
متن کاملInterpolatory model reduction of large-scale dynamical systems
Large-scale simulations play a crucial role in the study of a great variety of complex physical phenomena, leading often to overwhelming demands on computational resources. Managing these demands constitutes the main motivation for model reduction: produce simpler reduced-order models (which allow for faster and cheaper simulation) while accurately approximating the behaviour of the original mo...
متن کاملA survey of model reduction methods for large-scale systems
An overview of model reduction methods and a comparison of the resulting algorithms is presented. These approaches are divided into two broad categories, namely SVD based and moment matching based methods. It turns out that the approximation error in the former case behaves better globally in frequency while in the latter case the local behavior is better.
متن کاملH2 Model Reduction for Large-Scale Linear Dynamical Systems
The optimal H2 model reduction problem is of great importance in the area of dynamical systems and simulation. In the literature, two independent frameworks have evolved focussing either on solution of Lyapunov equations on the one hand or interpolation of transfer functions on the other, without any apparent connection between the two approaches. In this paper, we develop a new unifying framew...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1977
ISSN: 0022-247X
DOI: 10.1016/0022-247x(77)90036-1