State-Space Realisations of Linear 2-D Systems with Extensions to the General ND (N > 2) Case

ISBN-13: 9781852334109 / Angielski / Miękka / 2001 / 232 str.

Krzysztof Galkowski

Opis

This book demonstrates the newly developed Elementary Operations Algorithm (EOA). This is a systematic method for constructing a range of state-space realizations for 2-D systems.
The key achievements of the monograph are as follows:
- It provides a research-level introduction to the general area and undertakes a comparative critical review of previous approaches.
- It gives a thorough coverage of the theoretical basis of the EOA algorithm.
- It demonstrates the effectiveness of the EOA algorithm, for example, through the use of algebraic symbolic computing (using MAPLE), as well as by comparing this method with common alternatives.

Spis treści

Preliminaries.- The elementary operation algorithm for polynomial matrices.- 2D state-space realizations and the elementary operation algorithm — Single input — Single output (SISO) case.- MIMO systems — the 1D case.- Multiple-input, multiple-output (MIMO) systems — the 2D case.- The elementary operation approach extensions.- State-space realizations for 2D/nD systems revisited — Relations to the EOA.- Conclusions and further work.