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 the upper bound explicit solutions of the lyapunov equation
β Scribed by A. T. Alexandridis
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 356 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0925-4668
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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,
This paper proposes new two-sided matrix bounds of the solution for the continuous and discrete algebraic matrix Lyapunov equations. The coefficient matrix of the Lyapunov equation is assumed to be diayonalizable. The present matrix bounds can give a supplement to those results reported in the liter
Explicit constructions are given for the solution of the Bezout equation for matrices whose coefficients are multivariate polynomials or entire functions of PaJey-Wiener type. This procedure also provides the (I)-inverse when the Bezout equation has no solutions.