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Explicit solution of Sylvester and Lyapunov equations

✍ Scribed by F. Rotella; P. Borne


Book ID
103897051
Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
573 KB
Volume
31
Category
Article
ISSN
0378-4754

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✦ Synopsis


The aim of the paper is to determine the solution of the Sylvester matric algebraic equation via the Kronecker algebra. The main result points out that, if the unknown matrix is (p X q), the solution can be determined through the inversion of a (min( p, q) X min( p, q)) matrix.


πŸ“œ SIMILAR VOLUMES


Explicit direct solution of the Lyapunov
✍ 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

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✍ 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,

Low Rank Solution of Lyapunov Equations
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