𝔖 Bobbio Scriptorium
✦   LIBER   ✦

State-space descriptions and observability properties of 2D finite-dimensional autonomous behaviors

✍ Scribed by Maria Elena Valcher

Book ID
104300395
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
136 KB
Volume
44
Category
Article
ISSN
0167-6911

No coin nor oath required. For personal study only.

✦ Synopsis

Finite-dimensional autonomous behaviors (SIAM J. Control Optimiz. 31 (1993) 1502; IEEE Trans. Circuits Systems Part I, CAS1-47 3 (2000) 290) are the sets of solutions of certain two-dimensional (2D) di erence equations, endowed with the property of constituting ÿnite-dimensional vector spaces. Among all possible types of representations for this class of behaviors, we will be speciÿcally interested in two of them: kernel descriptions (corresponding to right factor prime polynomial matrix operators) or 2D state-space descriptions (associated with a pair of nonsingular commuting system matrices).

In this paper, we explore the observability property of these state-space representations, and analyze the algebraic connections between the properties of the kernel descriptions and the properties of the corresponding state-space realizations.

📜 SIMILAR VOLUMES

Advanced morphological 3D magnetic reson
Advanced morphological 3D magnetic resonance observation of cartilage repair tissue (MOCART) scoring using a new isotropic 3D proton-density, turbo spin echo sequence with variable flip angle distribution (PD-SPACE) compared to an isotropic 3D steady-state free precession sequence (True-FISP) and standard 2D sequences
✍ Goetz H. Welsch; Lukas Zak; Tallal C. Mamisch; Dominik Paul; Lars Lauer; Andreas 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 286 KB

## Abstract ## Purpose To evaluate a new isotropic 3D proton‐density, turbo‐spin‐echo sequence with variable flip‐angle distribution (PD‐SPACE) sequence compared to an isotropic 3D true‐fast‐imaging with steady‐state‐precession (True‐FISP) sequence and 2D standard MR sequences with regard to the n