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
Common solutions to the Lyapunov equations
β Scribed by George Phillip Barker
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 131 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
parallel algorithm for solving systems of coupled Lyapunov equations associated with linear jump parameter systems is introduced. The recursive scheme is based on solving independent reduced-order Lyapunov equations. Monotonicity of convergence is established.
## Abstract We will find a positive constant Ξ£~2~ such that for any 2__Ο__ βperiodic function __h__ (__t__) with zero mean value, the quadratic Newtonian equation __x__ β³ + __x__^2^ = __Ο__ + __h__ (__t__) will have exactly two 2__Ο__ βperiodic solutions with one being unstable and another being tw
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,