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On the existence of spines for({mathbb{Q}})-rank 1 groups

✍ Scribed by Dan Yasaki


Publisher
SP Birkhäuser Verlag Basel
Year
2007
Tongue
English
Weight
278 KB
Volume
12
Category
Article
ISSN
1022-1824

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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