Constrained Matrix Sylvester Equations
| Title | Constrained Matrix Sylvester Equations |
| Publication Type | Journal Articles |
| Year of Publication | 1992 |
| Authors | Barlow JB, Monahemi MM, O'Leary DP |
| Journal | SIAM Journal on Matrix Analysis and Applications |
| Volume | 13 |
| Issue | 1 |
| Pagination | 1 - 9 |
| Date Published | 1992/// |
| Keywords | loop transfer recovery, matrix Liapunov equation, Sylvester operator |
| Abstract | The problem of finding matrices $L$ and $T$ satisfying $TA - FT = LC$ and $TB = 0$ is considered. Existence conditions for the solution are established and an algorithm for computing the solution is derived. Conditions under which the matrix $[C^T ,T^T ]$ is full rank are also discussed. The problem arises in control theory in the design of reduced-order observers that achieve loop transfer recovery. |
| URL | http://link.aip.org/link/?SML/13/1/1 |
| DOI | 10.1137/0613002 |