Polynomial Solutions to the Matrix Equation X−AXTB=C
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Solutions are constructed for the Kalman-Yakubovich-transpose equation X−AXTB=C.
The solutions are stated as a polynomial of parameters of the matrix equation.
One of the polynomial solutions is expressed by the symmetric operator matrix, controllability matrix, and observability matrix.
Moreover, the explicit solution is proposed when the Kalman-Yakubovich-transpose matrix equation has a unique solution.
The provided approach does not require the coefficient matrices to be in canonical form.
In addition, the numerical example is given to illustrate the effectiveness of the derived method.
Some applications in control theory are discussed at the end of this paper.
American Psychological Association (APA)
Song, Caiqin& Feng, Jun-e. 2014. Polynomial Solutions to the Matrix Equation X−AXTB=C. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-492438
Modern Language Association (MLA)
Song, Caiqin& Feng, Jun-e. Polynomial Solutions to the Matrix Equation X−AXTB=C. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-492438
American Medical Association (AMA)
Song, Caiqin& Feng, Jun-e. Polynomial Solutions to the Matrix Equation X−AXTB=C. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-492438
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492438