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Common Lyapunov solutions for two matrices whose difference has rank one

✍ Scribed by Thomas J. Laffey; Helena Šmigoc


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
193 KB
Volume
431
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES


On the existence of a common quadratic L
✍ Christopher King; Michael Nathanson 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 213 KB

Suppose that A and B are real Hurwitz 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