| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4603805 | Linear Algebra and its Applications | 2007 | 14 Pages |
Abstract
Necessary and sufficient conditions for the existence of a common solution to the Lyapunov equation for two stable complex matrices are derived. These conditions are applied to the cases when a common weak solution to the Lyapunov equation exists. Conditions for the existence of a common solution to the Lyapunov equation for two complex 2 × 2 and two complex 3 × 3 matrices are derived.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
