Second-Order Model Reduction Based on Gramians
Some new and simple Gramian-based model order reduction algorithms are presented on second-order linear dynamical systems, namely, SVD methods. Compared to existing Gramian-based algorithms, that is, balanced truncation methods, they are competitive and more favorable for large-scale systems. Numeri...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2012/302498 |
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| _version_ | 1832553390326939648 |
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| author | Cong Teng |
| author_facet | Cong Teng |
| author_sort | Cong Teng |
| collection | DOAJ |
| description | Some new and simple Gramian-based model order reduction algorithms are presented on second-order linear dynamical systems, namely, SVD methods. Compared to existing Gramian-based algorithms, that is, balanced truncation methods, they are competitive and more favorable for large-scale systems. Numerical examples show the validity of the algorithms. Error bounds on error systems are discussed. Some observations are given on structures of Gramians of second order linear systems. |
| format | Article |
| id | doaj-art-4392d62acb8942778f6f6cfd485fc4f9 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-4392d62acb8942778f6f6cfd485fc4f92025-02-03T05:54:09ZengWileyJournal of Control Science and Engineering1687-52491687-52572012-01-01201210.1155/2012/302498302498Second-Order Model Reduction Based on GramiansCong Teng0School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan, Shandong 250014, ChinaSome new and simple Gramian-based model order reduction algorithms are presented on second-order linear dynamical systems, namely, SVD methods. Compared to existing Gramian-based algorithms, that is, balanced truncation methods, they are competitive and more favorable for large-scale systems. Numerical examples show the validity of the algorithms. Error bounds on error systems are discussed. Some observations are given on structures of Gramians of second order linear systems.http://dx.doi.org/10.1155/2012/302498 |
| spellingShingle | Cong Teng Second-Order Model Reduction Based on Gramians Journal of Control Science and Engineering |
| title | Second-Order Model Reduction Based on Gramians |
| title_full | Second-Order Model Reduction Based on Gramians |
| title_fullStr | Second-Order Model Reduction Based on Gramians |
| title_full_unstemmed | Second-Order Model Reduction Based on Gramians |
| title_short | Second-Order Model Reduction Based on Gramians |
| title_sort | second order model reduction based on gramians |
| url | http://dx.doi.org/10.1155/2012/302498 |
| work_keys_str_mv | AT congteng secondordermodelreductionbasedongramians |