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.

Inhalt
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.