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Yu-Peng Qiao, Hong-Sheng Qi and Dai-Zhan Cheng. Parameterized Solution to a Class of Sylvester Matrix Equations. International Journal of Automation and Computing, vol. 7, no. 4, pp. 479-483, 2010. DOI: 10.1007/s11633-010-0530-8
Citation: Yu-Peng Qiao, Hong-Sheng Qi and Dai-Zhan Cheng. Parameterized Solution to a Class of Sylvester Matrix Equations. International Journal of Automation and Computing, vol. 7, no. 4, pp. 479-483, 2010. DOI: 10.1007/s11633-010-0530-8
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Parameterized Solution to a Class of Sylvester Matrix Equations

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  • A class of formulas for converting linear matrix mappings into conventional linear mappings are presented.Using them,an easily computable numerical method for complete parameterized solutions of the Sylvester matrix equation AX-EXF=BY and its dual equation XA-FXE=YC are provided.It is also shown that the results obtained can be used easily for observer design.The method proposed in this paper is universally applicable to linear matrix equations.
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