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
Explicit solution of Sylvester and Lyapunov equations
β 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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β¦ 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.
π SIMILAR VOLUMES
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,