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On a common quadratic Lyapunov function for widely distant systems

โœ Scribed by Ooba, T.; Funahashi, Y.


Book ID
115462684
Publisher
IEEE
Year
1997
Tongue
English
Weight
93 KB
Volume
42
Category
Article
ISSN
0018-9286

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On the existence of a common quadratic L
โœ Christopher King; Michael Nathanson ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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