A Residual Approach for Balanced Truncation Model Reduction (BTMR) of Compartmental Systems
This paper presents a residual approach of the square root balanced truncation algorithm for model order reduction of continuous, linear and time-invariante compartmental systems. Specifically, the new approach uses a residual method to approximate the controllability and observability gramians, who...
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| Format: | Article |
| Language: | English |
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Universidad Simón Bolívar
2014-05-01
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| Series: | Bulletin of Computational Applied Mathematics |
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| Online Access: | http://drive.google.com/open?id=0B5GyVVQ6O030c2gzZERGYTdxaUU |
| _version_ | 1818516799882264576 |
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| author | William La Cruz |
| author_facet | William La Cruz |
| author_sort | William La Cruz |
| collection | DOAJ |
| description | This paper presents a residual approach of the square root balanced truncation algorithm for model order reduction of continuous, linear and time-invariante compartmental systems. Specifically, the new approach uses a residual method to approximate the controllability and observability gramians, whose resolution is an essential step of the square root balanced truncation algorithm, that requires a great computational cost. Numerical experiences are included to highlight the efficacy of the proposed approach. |
| first_indexed | 2024-12-11T00:47:20Z |
| format | Article |
| id | doaj.art-5935c2dafc9249f5ab708947a340b604 |
| institution | Directory Open Access Journal |
| issn | 2244-8659 2244-8659 |
| language | English |
| last_indexed | 2024-12-11T00:47:20Z |
| publishDate | 2014-05-01 |
| publisher | Universidad Simón Bolívar |
| record_format | Article |
| series | Bulletin of Computational Applied Mathematics |
| spelling | doaj.art-5935c2dafc9249f5ab708947a340b6042022-12-22T01:26:44ZengUniversidad Simón BolívarBulletin of Computational Applied Mathematics2244-86592244-86592014-05-0121723A Residual Approach for Balanced Truncation Model Reduction (BTMR) of Compartmental SystemsWilliam La Cruz0Departamento de Electrónica, Computación y Control, Facultad de Ingeniería, Universidad Central de Venezuela, Caracas 1051-DC, VenezuelaThis paper presents a residual approach of the square root balanced truncation algorithm for model order reduction of continuous, linear and time-invariante compartmental systems. Specifically, the new approach uses a residual method to approximate the controllability and observability gramians, whose resolution is an essential step of the square root balanced truncation algorithm, that requires a great computational cost. Numerical experiences are included to highlight the efficacy of the proposed approach.http://drive.google.com/open?id=0B5GyVVQ6O030c2gzZERGYTdxaUUmodel reductionLyapunov equation |
| spellingShingle | William La Cruz A Residual Approach for Balanced Truncation Model Reduction (BTMR) of Compartmental Systems Bulletin of Computational Applied Mathematics model reduction Lyapunov equation |
| title | A Residual Approach for Balanced Truncation Model Reduction (BTMR) of Compartmental Systems |
| title_full | A Residual Approach for Balanced Truncation Model Reduction (BTMR) of Compartmental Systems |
| title_fullStr | A Residual Approach for Balanced Truncation Model Reduction (BTMR) of Compartmental Systems |
| title_full_unstemmed | A Residual Approach for Balanced Truncation Model Reduction (BTMR) of Compartmental Systems |
| title_short | A Residual Approach for Balanced Truncation Model Reduction (BTMR) of Compartmental Systems |
| title_sort | residual approach for balanced truncation model reduction btmr of compartmental systems |
| topic | model reduction Lyapunov equation |
| url | http://drive.google.com/open?id=0B5GyVVQ6O030c2gzZERGYTdxaUU |
| work_keys_str_mv | AT williamlacruz aresidualapproachforbalancedtruncationmodelreductionbtmrofcompartmentalsystems AT williamlacruz residualapproachforbalancedtruncationmodelreductionbtmrofcompartmentalsystems |