𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Tensor conditions for the existence of a common solution to the Lyapunov equation

✍ Scribed by Thomas J. Laffey; Helena Šmigoc

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
165 KB
Volume
420
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Common solution to the Lyapunov equation
Common solution to the Lyapunov equation for 2 × 2 complex matrices
✍ Thomas J. Laffey; Helena Šmigoc 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 182 KB

In this work we solve the problem of a common solution to the Lyapunov equation for 2 × 2 complex matrices. We show that necessary and sufficient conditions for the existence of a common solution to the Lyapunov equation for 2 × 2 complex matrices A and B is that matrices (A + iαI )(B + iβI ) and (A

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