Model Reduction of Time-Varying Descriptor Systems - Numerical Methods, Algorithms, and Applications

by Hossain, Mohammad Sahadet
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$89.99
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Hossain, Mohammad Sahadet Model Reduction of Time-Varying Descriptor Systems - Numerical Methods, Algorithms, and Applications
Hossain, Mohammad Sahadet - Model Reduction of Time-Varying Descriptor Systems - Numerical Methods, Algorithms, and Applications

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Description

The book presents two important approaches for model reduction of periodic time-varying descriptor systems. The Krylov subspace based projection technique and the balancing based projection technique have been used for model reduction of time-varying descriptor systems. We proposed the recycled Krylov subspace method to approximate the appropriate subspaces for model reduction of continuous-time periodic descriptor systems. We have also shown that due to the shift-invariance property, the approximation scheme for multiple frequency points becomes much simpler and faster. A balanced truncation model reduction method is proposed for periodic discrete-time descriptor systems. We have solved the lifted Lyapunov equations for the periodic Gramians to find a reduced model of the original system. The iterative techniques, such as the Alternating Direction Implicit (ADI)method and the Smith method are also proposed for such model reduction procedure. We have shown numerical results using real data to illustrate the efficiency and accuracy of the proposed methods.

Contributors

Author:
Hossain, Mohammad Sahadet

Further information

Biography Artist:
Dr. Mohammad Sahadet Hossain is currently an assistant professor in the Department of Mathematics and Physics at North South University, Dhaka, Bangladesh. He received his PhD from the Chemnitz University of Technology, Germany in 2011. He also worked as a PostDoc fellow at the Max-Planck Institute, Magdeburg, Germany in 2011-2012.
Language:
English
Number of Pages:
196
Media Type:
Softcover
Publisher:
Scholar's Press

Master Data

Product Type:
Paperback book
Release date:
August 25, 2016
Package Dimensions:
0.22 x 0.15 x 0.011 m; 0.34 kg
GTIN:
09783659840012
DUIN:
3PPMS4MPMBV
$89.99
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