The Realization Problem for Positive and Fractional Systems

  • Tadeusz Kaczorek
  • Lukasz Sajewski

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 1)

Table of contents

  1. Front Matter
    Pages 1-15
  2. Tadeusz Kaczorek, Łukasz Sajewski
    Pages 1-66
  3. Tadeusz Kaczorek, Łukasz Sajewski
    Pages 67-122
  4. Tadeusz Kaczorek, Łukasz Sajewski
    Pages 123-196
  5. Tadeusz Kaczorek, Łukasz Sajewski
    Pages 197-256
  6. Tadeusz Kaczorek, Łukasz Sajewski
    Pages 257-335
  7. Tadeusz Kaczorek, Łukasz Sajewski
    Pages 337-375
  8. Tadeusz Kaczorek, Łukasz Sajewski
    Pages 377-416
  9. Tadeusz Kaczorek, Łukasz Sajewski
    Pages 417-477
  10. Back Matter
    Pages 479-586

About this book

Introduction

This book addresses the realization problem of positive and fractional continuous-time and discrete-time linear systems. Roughly speaking the essence of the realization problem can be stated as follows: Find the matrices of the state space equations of linear systems for given their transfer matrices. This first book on this topic shows how many well-known classical approaches have been extended to the new classes of positive and fractional linear systems. The modified Gilbert method for multi-input multi-output linear systems, the method for determination of realizations in the controller canonical forms and in observer canonical forms are presented. The realization problem for linear systems described by differential operators, the realization problem in the Weierstrass canonical forms and of the descriptor linear systems for given Markov parameters are addressed. The book also presents a method for the determination of minimal realizations of descriptor linear systems and an extension for cone linear systems. This monographs summarizes recent original investigations of the authors in the new field of the positive and fractional linear systems.

Keywords

Control Systems Fractional Systems Positive Systems Realization Problem

Authors and affiliations

  • Tadeusz Kaczorek
    • 1
  • Lukasz Sajewski
    • 2
  1. 1.Faculty of Electrical EngineeringBialystok University of TechnologyBialystokPoland
  2. 2.Faculty of Electrical EngineeringBialystok University of TechnologyBialystokPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-04834-5
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-04833-8
  • Online ISBN 978-3-319-04834-5
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • About this book