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Geometric Control of Patterned Linear Systems

  • Book
  • © 2012

Overview

Authors:
  1. Sarah C. Hamilton

    1. , Department of Electrical and, University of Toronto, Toronto, Canada

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    You can also search for this author in PubMed   Google Scholar

  2. Mireille E. Broucke

    1. , Department of Electrical and, University of Toronto, Toronto, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Aiming at researchers in systems control, especially in multiagent systems, distributed and decentralized control, and structured systems
  • No prior background in geometric control theory is assumed
  • Includes various examples that illustrate the geometric and
  • abstract algebra concepts used in linear geometric control
  • The matrix calculations required for the studied control synthesis problems of linear multivariable control are illustrated via a set of running design examples

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 428)

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Table of contents (10 chapters)

  1. Front Matter

    Pages 1-14
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  2. Introduction

    • Sarah C. Hamilton, Mireille E. Broucke
    Pages 1-12

  3. Background

    • Sarah C. Hamilton, Mireille E. Broucke
    Pages 13-34

  4. Part I: Patterned Linear Systems

    1. Front Matter

      Pages 35-35
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  5. Patterned Linear Systems

    1. Patterned Linear Maps

      • Sarah C. Hamilton, Mireille E. Broucke
      Pages 37-52

    2. System Properties

      • Sarah C. Hamilton, Mireille E. Broucke
      Pages 53-83

    3. Control Synthesis

      • Sarah C. Hamilton, Mireille E. Broucke
      Pages 85-109

  6. Part II: Patterns

    1. Front Matter

      Pages 111-111
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  7. Patterns

    1. Ring Systems

      • Sarah C. Hamilton, Mireille E. Broucke
      Pages 113-127

    2. Chains

      • Sarah C. Hamilton, Mireille E. Broucke
      Pages 129-138

    3. Trees

      • Sarah C. Hamilton, Mireille E. Broucke
      Pages 139-142

    4. Future Research Directions

      • Sarah C. Hamilton, Mireille E. Broucke
      Pages 143-149

    5. Conclusion

      • Sarah C. Hamilton, Mireille E. Broucke
      Pages 151-152

  8. Back Matter

    Pages 0--1
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Keywords

About this book

 

This monograph is aiming at researchers of systems control, especially those interested in multiagent systems, distributed and decentralized control, and structured systems. The book assumes no prior background in geometric control theory; however, a first

year graduate course in linear control systems is desirable.  Since not all control researchers today are exposed to geometric control theory, the book also adopts a tutorial style by way of examples that illustrate the geometric and abstract algebra concepts used in linear geometric control. In addition, the matrix calculations required for the studied control synthesis problems of linear multivariable control are illustrated via a set of running design examples. As such, some of the design examples are of higher dimension than one may typically see in a text; this is so that all the geometric features of the design problem are illuminated.

Reviews

From the reviews:

“This well-organized book is an extensive and complete introduction to patterned linear systems in the context of geometric control theory. The presentation of the material is elegant and in addition to giving basic results, the book adopts a tutorial style by way of examples that illustrate the geometric and abstract algebra concepts used in linear geometric control. … a useful reference book for graduate students and researchers focusing on systems control, especially those interested in multiagent systems, distributed and decentralized control, and structured systems.” (Long Wang, Mathematical Reviews, August, 2013)

Authors and Affiliations

  • , Department of Electrical and, University of Toronto, Toronto, Canada

    Sarah C. Hamilton, Mireille E. Broucke

Bibliographic Information

  • Book Title: Geometric Control of Patterned Linear Systems

  • Authors: Sarah C. Hamilton, Mireille E. Broucke

  • Series Title: Lecture Notes in Control and Information Sciences

  • DOI: https://doi.org/10.1007/978-3-642-28804-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2012

  • Softcover ISBN: 978-3-642-28803-6Published: 05 April 2012

  • eBook ISBN: 978-3-642-28804-3Published: 05 April 2012

  • Series ISSN: 0170-8643

  • Series E-ISSN: 1610-7411

  • Edition Number: 1

  • Number of Pages: XX, 160

  • Topics: Control and Systems Theory, Systems Theory, Control

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