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On diagonal common quadratic Lyapunov functions for sets of homogeneous cooperative systems

โœ Scribed by Ding, Xiuyong; Shu, Lan; Liu, Xiu

Book ID
120433249
Publisher
Springer
Year
2013
Tongue
English
Weight
202 KB
Volume
85
Category
Article
ISSN
0001-9054

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On the existence of a common quadratic Lyapunov function for a rank one difference
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