Polynomial and Rational Matrices

Applications in Dynamical Systems Theory
1. Auflage. Softcover version of original hardcover Auflage 2007
ISBN: 978-1-84996-626-9
Verlag: Springer

Buch, Englisch, 503 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 779 g

Reihe: Communications and Control Engineering

This book reviews new results in the application of polynomial and rational matrices to continuous- and discrete-time systems. It provides the reader with rigorous and in-depth mathematical analysis of the uses of polynomial and rational matrices in the study of dynamical systems. It also throws new light on the problems of positive realization, minimum-energy control, reachability, and asymptotic and robust stability.

Zielgruppe

Research

Autoren/Hrsg.

Kaczorek, Tadeusz

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Bauelemente, Schaltkreise
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Technische Wissenschaften Technik Allgemein Technik: Allgemeines
• Technische Wissenschaften Technik Allgemein Mess- und Automatisierungstechnik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Mikroprozessoren

Inhaltsverzeichnis

Polynomial Matrices.- Rational Functions and Matrices.- Normal Matrices and Systems.- The Problem of Realization.- Singular and Cyclic Normal Systems.- Matrix Polynomial Equations, and Rational and Algebraic Matrix Equations.- The Realisation Problem and Perfect Observers of Singular Systems.- Positive Linear Systems with Delays.

Über Autor(innen)

Tadeusz Kaczorek, received the MSc., PhD and DSc degrees from Electrical Engineering of Warsaw University of Technology in 1956, 1962 and 1964, respectively. Between 1968 and 1969 he was the dean of Electrical Engineering Faculty and from 1970until 1973 he was the prorector of Warsaw University of Technology. He has been a full Professor since 1974. In 1996 he was elected as a full member of Polish Academy of Sciences. From 1988 to 1991 he was the director of the Research Centre of Polish Academy of Sciences in Rome. In June 1999 he was elected as a full member of the Academy of Engineering in Poland. In May 2004 he was elected the honorary member of the Hungarian Academy of Sciences. He holds honorary doctorates from the University of Zielona Góra (2002), the Technical University of Lublin (2004), the Technical University of Szczecin (2004) and Warsaw University of Technology (2004).

His research interests cover the theory of systems and the automatic control systems, particularly singular multidimensional systems, positive multidimensional systems and singular positive 1- and 2-dimensional systems. He has researched the field of singular and positive 2-dimensional linear systems. He has published 18 books (5 in English) and over 700 scientific papers (in journals like , , , , , etc.) and proceedings of conferences. He has presented more than 100 invited papers to international conferences and world congresses and has given invited lectures in more than 50 universities in the US, Canada, UK, Germany, Italy, France, Japan, Greece etc. He has been a member of many international committees and programme committees.

Professor Kaczorek has supervised over 60 Ph.D. theses. More than 20 of this PhD students have become professors in the US, UK and Japan. He is Editor-in-Chief of , and editorial member of about ten international journals.