A new method of explicit direct solution for the Lyapunov matrix equation is proposed. Based on a fundamental property allowing the decomposition of any arbitrary matrix into symmetric and skew-symmetric parts, the Lyapunov matrix is expressed in a simple and compact form. In addition, a sign$cant r
✦ LIBER ✦
On the explicit solutions of forms of the Sylvester and the Yakubovich matrix equations
✍ Scribed by Mohamed A. Ramadan; Mokhtar A. Abdel Naby; Ahmed M.E. Bayoumi
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 450 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Explicit direct solution of the Lyapunov
✍
Z. Jacyno
📂
Article
📅
1989
🏛
Elsevier Science
🌐
English
⚖ 497 KB
Comments on “explicit direct solution of
✍
Xuemin Shen
📂
Article
📅
1991
🏛
Elsevier Science
🌐
English
⚖ 56 KB
Comments on “Explicit direct solution of
✍
A.L. Zelentsovsky
📂
Article
📅
1991
🏛
Elsevier Science
🌐
English
⚖ 119 KB
Comments und Rebuttal advantage indicated. He is quoting to this effect reference (3). This paper deals, though, with discrete systems and the Lyapunov equation of the type shown in'its title, while our paper (4) concerns continuous systems. Such systems are mentioned in (3) in a brief remark only,
On the solution of large Sylvester-obser
✍
D. Calvetti; B. Lewis; L. Reichel
📂
Article
📅
2001
🏛
John Wiley and Sons
🌐
English
⚖ 341 KB
Explicit solution of the matrix equation
✍
Vicente Hernández; Maite Gassó
📂
Article
📅
1989
🏛
Elsevier Science
🌐
English
⚖ 461 KB
An explicit formula for singular values
✍
Tibor Boros; Pál Rózsa
📂
Article
📅
2007
🏛
Elsevier Science
🌐
English
⚖ 142 KB