Selected Problems of Fractional Systems Theory

ISBN-13: 9783642205019 / Angielski / Miękka / 2011 / 346 str.

Tadeusz Kaczorek

Opis

This monograph covers some selected problems of positive fractional 1D and 2D linear systems. It is an extended and modified English version of its preceding Polish edition published by Technical University of Bialystok in 2009. This book is based on the lectures delivered by the author to the Ph.D. students of the Faculty of Electrical Engineering of Bialystok University of Technology and of Warsaw University of Technology and on invited lectures in several foreign universities in the last three years.

Recenzje

From the reviews:

"The purpose of this book is to expose some aspects of fractional-order systems. ... this book can be used as a textbook for courses related to fractional-order system theory. ... The presentation of the different tools is clear and complete, and the book is a useful reference to consult." (Said Djennoune, Mathematical Reviews, Issue 2012 d)

"The book is a very rich compendium for fractional linear systems theory including own results of the author. ... The book contains many theorems with proofs and some number of illustrating examples, all of the academic form. The book is interesting for those who want to have a rich collection of facts, methods and algorithms of current fractional systems theory gathered in one place." (Krzysztof Galkowski, Zentralblatt MATH, Vol. 1221, 2011)

Spis treści

Fractional discrete-time linear systems.-

Fractional continuous-time linear systems.-

Fractional positive 2D linear systems.-

Pointwise completeness and pointwise degeneracy of linear systems.-

Pointwise completeness and pointwise degeneracy of linear systems

with state-feedbacks.-

Realization Problem for positive fractional and continuous-discrete

2D linear systems.-

Cone discrete-time and continuous-time linear systems.-

Stability of positive fractional 1D and 2D linear systems.-

Stability analysis of fractional linear systems in frequency domain.-

Stabilization of positive and fractional linear systems.-

Singular fractional linear systems.-

Positive continuous-discrete linear systems.-

Laplace transforms of continuous-time functions and z-transforms

of discrete-time functions.

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