MOESP algorithm for converting one-dimensional Maxwell equation into a linear system

E.F. Yetkin; H. Dag; W.H.A. Schilders

doi:10.1007/978-3-540-71980-9_44

MOESP algorithm for converting one-dimensional Maxwell equation into a linear system

E.F. Yetkin, H. Dag, W.H.A. Schilders

Scientific Computing

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

We present a method for converting 1-D Maxwell equation into a linear system using the Multivariable Output Error State Space (MOESP) method, a subspace system identification method. To show the efficiency of the method, we first apply it to a set of ordinary differantial equations. Input and output from the equation set are computed by numerical methods and the obtained data is used for building the required matrices. An appropriate Single Input Single Output (SISO) linear system is estimated by MOESP algorithm for the equation at hand. The goal of the research is to build a low order linear state space system model for the Maxwell equation. On the other hand the order estimation for the system can be used in other way. For example, with this estimation one can determine an appropriate order for the physical system, for which one of the well-known model order reduction techniques can be used to obtain a reduced order model.

Original language	English
Title of host publication	Proceedings of the 6th International Conference on Scientific Computing in Electrical Engineering (SCEE 2006) 17-22 September 2006, Sinaia, Romania
Editors	G. Ciuprina, D. Ioan
Place of Publication	Berlin
Publisher	Springer
Pages	395-402
ISBN (Print)	978-3-540-71979-3
DOIs	https://doi.org/10.1007/978-3-540-71980-9_44
Publication status	Published - 2007
Event	Scientific Computing in Electrical Engineering, SCEE 2006 - Sinaia, Romania Duration: 17 Sept 2006 → 22 Sept 2006 https://scee-conferences.org/

Publication series

Name	Mathematics in Industry
Volume	11
ISSN (Print)	1612-3956

Conference

Conference	Scientific Computing in Electrical Engineering, SCEE 2006
Abbreviated title	SCEE 2006
Country/Territory	Romania
City	Sinaia
Period	17/09/06 → 22/09/06
Other	SCEE 2006, Sinaia, Romania
Internet address	https://scee-conferences.org/

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10.1007/978-3-540-71980-9_44

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Yetkin, E. F., Dag, H., & Schilders, W. H. A. (2007). MOESP algorithm for converting one-dimensional Maxwell equation into a linear system. In G. Ciuprina, & D. Ioan (Eds.), Proceedings of the 6th International Conference on Scientific Computing in Electrical Engineering (SCEE 2006) 17-22 September 2006, Sinaia, Romania (pp. 395-402). (Mathematics in Industry; Vol. 11). Springer. https://doi.org/10.1007/978-3-540-71980-9_44

Yetkin, E.F. ; Dag, H. ; Schilders, W.H.A. / MOESP algorithm for converting one-dimensional Maxwell equation into a linear system. Proceedings of the 6th International Conference on Scientific Computing in Electrical Engineering (SCEE 2006) 17-22 September 2006, Sinaia, Romania. editor / G. Ciuprina ; D. Ioan. Berlin : Springer, 2007. pp. 395-402 (Mathematics in Industry).

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abstract = "We present a method for converting 1-D Maxwell equation into a linear system using the Multivariable Output Error State Space (MOESP) method, a subspace system identification method. To show the efficiency of the method, we first apply it to a set of ordinary differantial equations. Input and output from the equation set are computed by numerical methods and the obtained data is used for building the required matrices. An appropriate Single Input Single Output (SISO) linear system is estimated by MOESP algorithm for the equation at hand. The goal of the research is to build a low order linear state space system model for the Maxwell equation. On the other hand the order estimation for the system can be used in other way. For example, with this estimation one can determine an appropriate order for the physical system, for which one of the well-known model order reduction techniques can be used to obtain a reduced order model.",

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Yetkin, EF, Dag, H & Schilders, WHA 2007, MOESP algorithm for converting one-dimensional Maxwell equation into a linear system. in G Ciuprina & D Ioan (eds), Proceedings of the 6th International Conference on Scientific Computing in Electrical Engineering (SCEE 2006) 17-22 September 2006, Sinaia, Romania. Mathematics in Industry, vol. 11, Springer, Berlin, pp. 395-402, Scientific Computing in Electrical Engineering, SCEE 2006, Sinaia, Romania, 17/09/06. https://doi.org/10.1007/978-3-540-71980-9_44

MOESP algorithm for converting one-dimensional Maxwell equation into a linear system. / Yetkin, E.F.; Dag, H.; Schilders, W.H.A.
Proceedings of the 6th International Conference on Scientific Computing in Electrical Engineering (SCEE 2006) 17-22 September 2006, Sinaia, Romania. ed. / G. Ciuprina; D. Ioan. Berlin: Springer, 2007. p. 395-402 (Mathematics in Industry; Vol. 11).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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N2 - We present a method for converting 1-D Maxwell equation into a linear system using the Multivariable Output Error State Space (MOESP) method, a subspace system identification method. To show the efficiency of the method, we first apply it to a set of ordinary differantial equations. Input and output from the equation set are computed by numerical methods and the obtained data is used for building the required matrices. An appropriate Single Input Single Output (SISO) linear system is estimated by MOESP algorithm for the equation at hand. The goal of the research is to build a low order linear state space system model for the Maxwell equation. On the other hand the order estimation for the system can be used in other way. For example, with this estimation one can determine an appropriate order for the physical system, for which one of the well-known model order reduction techniques can be used to obtain a reduced order model.

AB - We present a method for converting 1-D Maxwell equation into a linear system using the Multivariable Output Error State Space (MOESP) method, a subspace system identification method. To show the efficiency of the method, we first apply it to a set of ordinary differantial equations. Input and output from the equation set are computed by numerical methods and the obtained data is used for building the required matrices. An appropriate Single Input Single Output (SISO) linear system is estimated by MOESP algorithm for the equation at hand. The goal of the research is to build a low order linear state space system model for the Maxwell equation. On the other hand the order estimation for the system can be used in other way. For example, with this estimation one can determine an appropriate order for the physical system, for which one of the well-known model order reduction techniques can be used to obtain a reduced order model.

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Yetkin EF, Dag H, Schilders WHA. MOESP algorithm for converting one-dimensional Maxwell equation into a linear system. In Ciuprina G, Ioan D, editors, Proceedings of the 6th International Conference on Scientific Computing in Electrical Engineering (SCEE 2006) 17-22 September 2006, Sinaia, Romania. Berlin: Springer. 2007. p. 395-402. (Mathematics in Industry). doi: 10.1007/978-3-540-71980-9_44

MOESP algorithm for converting one-dimensional Maxwell equation into a linear system

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