| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602668 | Linear Algebra and its Applications | 2009 | 18 Pages |
Abstract
The real Lyapunov order in the set of real n×n matrices is a relation defined as follows: A⩽B if, for every real symmetric matrix S, SB+BtS is positive semidefinite whenever SA+AtS is positive semidefinite. We describe the main properties of the Lyapunov order in terms of linear systems theory, Nevenlinna–Pick interpolation and convexity.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
