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On the existence of a lyapunov function as a quadratic form for impulsive systems of linear differential equations

✍ Scribed by A. O. Ignat’ev


Publisher
Springer
Year
2011
Tongue
English
Weight
93 KB
Volume
62
Category
Article
ISSN
0041-5995

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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

Necessary and sufficient conditions for
✍ Robert N. Shorten; Kumpati S. Narendra 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 227 KB 👁 3 views

## Abstract In this paper, necessary and sufficient conditions are derived for the existence of a common quadra‐tic Lyapunov function for a finite number of stable second order linear time‐invariant systems. Copyright © 2002 John Wiley & Sons, Ltd.