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On equivalence and explicit solutions of a class of matrix equations

✍ Scribed by Bin Zhou; Guang-Ren Duan

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
657 KB
Volume
50
Category
Article
ISSN
0895-7177

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πŸ“œ SIMILAR VOLUMES

Comments on β€œExplicit direct solution of
Comments on β€œExplicit direct solution of the Lyapunov matrix equation”
✍ A.L. Zelentsovsky πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 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,

Explicit direct solution of the Lyapunov
Explicit direct solution of the Lyapunov matrix equation
✍ Z. Jacyno πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 497 KB

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

On solutions of matrix equations and
On solutions of matrix equations and
✍ Ai-Guo Wu; Yan-Ming Fu; Guang-Ren Duan πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 358 KB

With the help of the Kronecker map, a complete, general and explicit solution to the Yakubovich matrix equation V -AV F = BW , with F in an arbitrary form, is proposed. The solution is neatly expressed by the controllability matrix of the matrix pair (A, B), a symmetric operator matrix and an observ