Matches in SemOpenAlex for { <https://semopenalex.org/work/W1987803437> ?p ?o ?g. }
- W1987803437 abstract "The polynomial Diophantine matrix equation and the generalized Sylvester matrix equation are important for controller design in frequency domain linear system theory and time domain linear system theory, respectively. By using the so-called generalized Sylvester mapping, right coprime factorization and Bezout identity associated with certain polynomial matrices, we present in this note a unified parametrization for the solutions to both of these two classes of matrix equations. Moreover, it is shown that solutions to the generalized Sylvester matrix equation can be obtained if solutions to the Diophantine matrix equation are available. The results disclose a relationship between the polynomial Diophantine matrix equation and generalized Sylvester matrix equation that are respectively studied and used in frequency domain linear system theory and time domain linear system theory." @default.
- W1987803437 created "2016-06-24" @default.
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- W1987803437 date "2008-07-01" @default.
- W1987803437 modified "2023-09-23" @default.
- W1987803437 title "Unified parametrization for the solutions to the polynomial Diophantine matrix equation and the generalized Sylvester matrix equation" @default.
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- W1987803437 doi "https://doi.org/10.1109/ccdc.2008.4598097" @default.
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