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A result on common quadratic Lyapunov functions

โœ Scribed by Shorten, R.; Narendra, K.S.; Mason, O.


Book ID
118256179
Publisher
IEEE
Year
2003
Tongue
English
Weight
266 KB
Volume
48
Category
Article
ISSN
0018-9286

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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