A note on model reduction of large scale systems
نویسندگان
چکیده
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...
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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.
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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...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1982
ISSN: 0022-247X
DOI: 10.1016/0022-247x(82)90075-0