State-space Realisations of Linear 2-D Systems with Extensions to the General nD (n > 2) case

1. Front Matter

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2. Introduction

   Pages 1-4

3. Preliminaries

   Pages 5-16

4. The elementary operation algorithm for polynomial matrices

   Pages 17-63

5. 2D state-space realizations and the elementary operation algorithm — Single input — Single output (SISO) case

   Pages 65-89

6. MIMO systems — the 1D case

   Pages 91-124

7. Multiple-input, multiple-output (MIMO) systems — the 2D case

   Pages 125-166

8. The elementary operation approach extensions

   Pages 167-185

9. State-space realizations for 2D/nD systems revisited — Relations to the EOA

   Pages 187-217

10. Conclusions and further work

    Pages 219-222

11. Back Matter

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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.

• Control Theory
• Extension
• Signal processing
• State-space methods
• algorithms
• control
• mimo system
• nD Systems
• siso system

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