The Realization Problem for Positive and Fractional Systems

Softcover Nachdruck of the original 1. Auflage 2014
ISBN: 978-3-319-35818-5
Verlag: Springer International Publishing

Buch, Englisch, Band 1, 590 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 9066 g

Reihe: Studies in Systems, Decision and Control

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.

Zielgruppe

Research

Autoren/Hrsg.

Sajewski, Lukasz

Kaczorek, Tadeusz

Fachgebiete

• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme

Inhaltsverzeichnis

Realization problem of 1D standard linear systems.-
Realization problem of 1D positive regular linear systems.-
Realization problem of 1D positive regular linear systems

with delays.-
Positive stable realization problem for 1D regular linear systems.-
Positive realization problem of 1D descriptor linear systems.-
Positive realization problem for 1D regular fractional

linear systems.-
Positive realization problem for 1D descriptor fractional

linear systems.-
Positive realization problem for 2D continuous-discrete

linear systems.