Parametric solutions to Sylvester conjugate matrix equations
By two recently proposed operations with respect to complex matrices, a simple explicit solution to the Sylvester-conjugate matrix equation is given in a finite series form. The obtained solution can also be equivalently expressed in terms of the so-calledcontrollability-like matrix and observabilit...
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Published: |
Elsevier
2011
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/9125 |
| _version_ | 1848745859294953472 |
|---|---|
| author | Wu, A. Lv, L. Duan, G. Liu, Wan-quan |
| author_facet | Wu, A. Lv, L. Duan, G. Liu, Wan-quan |
| author_sort | Wu, A. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | By two recently proposed operations with respect to complex matrices, a simple explicit solution to the Sylvester-conjugate matrix equation is given in a finite series form. The obtained solution can also be equivalently expressed in terms of the so-calledcontrollability-like matrix and observability-like matrix. The proposed solution can provide all the degrees of freedom which is represented by a free parameter matrix. An illustrative example is employed to show the effectiveness of the proposed method. |
| first_indexed | 2025-11-14T06:24:03Z |
| format | Journal Article |
| id | curtin-20.500.11937-9125 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:24:03Z |
| publishDate | 2011 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-91252017-09-13T16:07:34Z Parametric solutions to Sylvester conjugate matrix equations Wu, A. Lv, L. Duan, G. Liu, Wan-quan Controllability-like matrix Sylvester-conjugate matrix equation Explicit solution Observability-like matrix By two recently proposed operations with respect to complex matrices, a simple explicit solution to the Sylvester-conjugate matrix equation is given in a finite series form. The obtained solution can also be equivalently expressed in terms of the so-calledcontrollability-like matrix and observability-like matrix. The proposed solution can provide all the degrees of freedom which is represented by a free parameter matrix. An illustrative example is employed to show the effectiveness of the proposed method. 2011 Journal Article http://hdl.handle.net/20.500.11937/9125 10.1016/j.camwa.2011.08.034 Elsevier unknown |
| spellingShingle | Controllability-like matrix Sylvester-conjugate matrix equation Explicit solution Observability-like matrix Wu, A. Lv, L. Duan, G. Liu, Wan-quan Parametric solutions to Sylvester conjugate matrix equations |
| title | Parametric solutions to Sylvester conjugate matrix equations |
| title_full | Parametric solutions to Sylvester conjugate matrix equations |
| title_fullStr | Parametric solutions to Sylvester conjugate matrix equations |
| title_full_unstemmed | Parametric solutions to Sylvester conjugate matrix equations |
| title_short | Parametric solutions to Sylvester conjugate matrix equations |
| title_sort | parametric solutions to sylvester conjugate matrix equations |
| topic | Controllability-like matrix Sylvester-conjugate matrix equation Explicit solution Observability-like matrix |
| url | http://hdl.handle.net/20.500.11937/9125 |