Record Details
A cone associated with the Lyapunov mapping
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | A cone associated with the Lyapunov mapping |
| Names |
Lindberg, Charles Gordon
(creator) Ballantine, C. S. (advisor) |
| Date Issued | 1967-08-31 (iso8601) |
| Note | Graduation date: 1968 |
| Abstract | In this paper we investigate the Lyapunov mapping P --> AP + PA * where A is a positive stable matrix and P is a hermitian matrix. In particular, for special positive stable A we characterize the image of the cone of positive definite matrices under this mapping. In Section V we give five conditions on an nXn hermitian matrix H and a general nXn positive stable matrix A. that are equivalent to the condition: H = AP + PA* for some positive definite (hermitian) P. |
| Genre | Thesis/Dissertation |
| Topic | Matrices |
| Identifier | http://hdl.handle.net/1957/47155 |
