On the existence of a common quadratic Lyapunov function for a rank one difference
| dc.creator | King, Christopher | |
| dc.creator | Nathanson, Michael | |
| dc.date | 2004-03-26 | |
| dc.date.accessioned | 2026-07-07T05:06:48Z | |
| dc.date.available | 2026-07-07T05:06:48Z | |
| dc.description | Suppose that A and B are real stable matrices, and that their difference A-B is rank one. Then A and B have a common quadratic Lyapunov function if and only if the product AB has no real negative eigenvalue. This result is due to Shorten and Narendra, who showed that it follows as a consequence of the Kalman-Yacubovich-Popov solution of the Lur'e problem. Here we present a new and independent proof based on results from convex analysis and the theory of moments. | |
| dc.identifier | https://arxiv.org/abs/math/0403467 | |
| dc.identifier | http://arxiv.org/abs/math/0403467 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70612 | |
| dc.subject | Optimization and Control | |
| dc.title | On the existence of a common quadratic Lyapunov function for a rank one difference | |
| dc.type | text |