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On the Maximum Possible Negativity Margin for the First Derivative (First Difference) of a Quadratic Lyapunov Function

โœ Scribed by O. G. Antonovskaya


Book ID
111579239
Publisher
Springer
Year
2003
Tongue
English
Weight
84 KB
Volume
39
Category
Article
ISSN
0012-2661

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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