On the solution to the Sylvester matrix equation AV + BW = EVF

Guang Ren Duan

doi:10.1109/9.489286

On the solution to the Sylvester matrix equation AV + BW = EVF

Guang Ren Duan^*

^*Corresponding author for this work

School of Astronautics

Research output: Contribution to journal › Article › peer-review

129 Scopus citations

Abstract

A simple, direct, complete and explicit parametric solution of the generalized Sylvester matrix equation AV + BW = EVF is proposed for matrix F in the Jordan form with arbitrary eigenvalues using the Smith canonical form of the matrix [A - sE B]. The obtained solution is in a clear, neat form and may have important applications in descriptor linear system theory.

Original language	English
Pages (from-to)	612-614
Number of pages	3
Journal	IEEE Transactions on Automatic Control
Volume	41
Issue number	4
DOIs	https://doi.org/10.1109/9.489286
State	Published - 1996

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abstract = "A simple, direct, complete and explicit parametric solution of the generalized Sylvester matrix equation AV + BW = EVF is proposed for matrix F in the Jordan form with arbitrary eigenvalues using the Smith canonical form of the matrix [A - sE B]. The obtained solution is in a clear, neat form and may have important applications in descriptor linear system theory.",

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AB - A simple, direct, complete and explicit parametric solution of the generalized Sylvester matrix equation AV + BW = EVF is proposed for matrix F in the Jordan form with arbitrary eigenvalues using the Smith canonical form of the matrix [A - sE B]. The obtained solution is in a clear, neat form and may have important applications in descriptor linear system theory.

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On the solution to the Sylvester matrix equation AV + BW = EVF

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