State-space realisations of linear 2-D systems with extensions to the general nD (n[>̳]2) case
| Permalink: | http://skupni.nsk.hr/Record/fer.KOHA-OAI-FER:34772/TOC |
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| Glavni autor: | Galkowski, Krzysztof, 1949- (-) |
| Vrsta građe: | Knjiga |
| Jezik: | eng |
| Impresum: |
London ; New York :
Springer,
c2001.
|
| Nakladnička cjelina: |
Lecture notes in control and information sciences,
263 |
| Predmet: | |
| Online pristup: |
Publisher description Table of contents only |
Sadržaj:
- Introduction.
- Preliminaries State-space Models Transfer Function Matrices and Polynominal Description The Galkowski Approach - the SISO Case Singularity.
- The Elementary Operation Algorithm for Polynominal Matrices Basics Analysis of the Elementary Operation Algorithm The EOA and Polynominal Matrix Description The EOA and Similarity The Elementary Operation Algorithm and Singularity Initial Representations for the Elementary Operation Algorithm Relationships between the Roesser and the Fornasini-Marchesini Models.
- 2D Sate-space Realizations and the Elementary Operation Algorithm - the Single Input - Single Output (SISO) Case Basics Links between the Roesser and the Fornasini-Marchesini Models by the EOA.
- MIMO Systems - the 1D Case Multi-input Single-output Systems Single-input Multi-output Systems MISO and SIMO Cases-the Dual Approach General MIMO Case Further Analysis An Algebraic Characterization.
- Multiple-input, Multiple-output (MIMO) Systems - the 2D Case The General Approach Column Least Common Multiplicity Based Approach Row Least Common Multiplicity Based Approach A Standard (Nonsingular) Realization Achieved by Direct Application of the EOA Algebraic Justification for the MIMO Case Variable Transformations for the Elementary Operation Algorithm Variable Inversion Generalised Bilinear Transform.
- The Elementary Operation Approach Extensions The nD Elementary Operation Algorithm Applications to Repetitive Processes The Elementary Operation Algorithm and Laurent Polynominals.
- State-Space Realizations for 2D/nD Systems Revisited - Relations to EOA Overview A priori Non-minimal Realization Multi-way Companion Matrices The History of Multi-way Matrices Multi-way Matrices - Mathematical Basics Three-way Companion Matrix of a Trivariate Polynominal Minimal Realization for Multi-linear n-variate Transfer Functions.
- Conclusions and Further Work.
- References.
- Index.