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Solutions to the matrix equation

โœ Scribed by Ai-Guo Wu; Junqiang Hu; Guang-Ren Duan

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
550 KB
Volume
58
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

An explicit solution to the generalized Sylvester matrix equation AX -EXF = BY , with the matrix F being a companion matrix, is given. This solution is represented in terms of the R-controllability matrix of (E, A, B), generalized symmetric operator and a Hankel matrix.

Moreover, several equivalent forms of this solution are presented. The obtained results may provide great convenience for many analysis and design problems. A numerical example is used to illustrate the effectiveness of the proposed approach.

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