Studies in Systems, Decision and Control

The Realization Problem for Positive and Fractional Systems

Authors: Kaczorek, Tadeusz, Sajewski, Lukasz

  • Addresses the realization problem of positive fractional continuous-time, discrete-time and continuous-discrete time linear systems
  • Introduces to the basic methods of determination of realizations of given transfer matrices of standard and descriptor linear systems
  • Recent research on the Realization Problem for Positive and Fractional Systems
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eBook $179.00
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  • ISBN 978-3-319-04834-5
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Hardcover $229.00
price for USA
  • ISBN 978-3-319-04833-8
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Softcover $229.00
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  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 13, 2016
  • ISBN 978-3-319-35818-5
  • Free shipping for individuals worldwide
Rent the ebook  
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About this book

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.

Reviews

From the book reviews:

“The problems and facts of interest are presented in a very well organized manner and the usual roughness of some technical aspects is avoided by treating them in a natural way, closer to a practical engineering approach. … The monograph gives a complete presentation of the state of the art in the theory of system realization, and will be a fruitful reading for researchers at all levels in this area.” (Tiberiu Vasilache, Mathematical Reviews, January, 2015)

“The book is well, clearly written and hence is easy to follow for the reader. There are many illustrating examples. The book is recommended for researchers and students who are interested in the modern system theory.” (Krzysztof Gałkowski, zbMATH, Vol. 1297, 2014)


Table of contents (8 chapters)

  • Realization Problem of 1D Standard Linear Systems

    Kaczorek, Tadeusz (et al.)

    Pages 1-66

  • Realization Problem of 1D Positive Regular Linear Systems

    Kaczorek, Tadeusz (et al.)

    Pages 67-122

  • Realization Problem of 1D Positive Regular Linear Systems with Delays

    Kaczorek, Tadeusz (et al.)

    Pages 123-196

  • Positive Stable Realization Problem for 1D Regular Linear Systems

    Kaczorek, Tadeusz (et al.)

    Pages 197-256

  • Positive Realization Problem of 1D Descriptor Linear Systems

    Kaczorek, Tadeusz (et al.)

    Pages 257-335

Buy this book

eBook $179.00
price for USA (gross)
  • ISBN 978-3-319-04834-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $229.00
price for USA
  • ISBN 978-3-319-04833-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $229.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 13, 2016
  • ISBN 978-3-319-35818-5
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The Realization Problem for Positive and Fractional Systems
Authors
Series Title
Studies in Systems, Decision and Control
Series Volume
1
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-04834-5
DOI
10.1007/978-3-319-04834-5
Hardcover ISBN
978-3-319-04833-8
Softcover ISBN
978-3-319-35818-5
Series ISSN
2198-4182
Edition Number
1
Number of Pages
XVIII, 590
Number of Illustrations and Tables
37 b/w illustrations
Topics