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

  • Book
  • © 2001

Overview

Authors:
  1. Krzyztof Gałkowski
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Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 263)

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Table of contents (9 chapters)

  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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Keywords

About this book

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.

Bibliographic Information

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

  • Authors: Krzyztof Gałkowski

  • Series Title: Lecture Notes in Control and Information Sciences

  • DOI: https://doi.org/10.1007/BFb0110347

  • Publisher: Springer London

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag London 2001

  • Softcover ISBN: 978-1-85233-410-9Published: 29 January 2001

  • eBook ISBN: 978-1-84628-573-8Published: 03 October 2007

  • Series ISSN: 0170-8643

  • Series E-ISSN: 1610-7411

  • Edition Number: 1

  • Number of Pages: XI, 232

  • Topics: Control and Systems Theory

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