Kulczycki / Korbicz / Kacprzyk Fractional Dynamical Systems: Methods, Algorithms and Applications

1. Auflage 2022
ISBN: 978-3-030-89972-1
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 402, 397 Seiten, eBook

Reihe: Studies in Systems, Decision and Control

This book presents a wide and comprehensive spectrum of issues and problems related to fractional-order dynamical systems. It is meant to be a full-fledge, comprehensive presentation of many aspects related to the broadly perceived fractional-order dynamical systems which constitute an extension of the traditional integer-order-type descriptions. This implies far-reaching consequences, both analytic and algorithmic, because—in general—properties of the traditional integer-order systems cannot be directly extended by a straightforward generalization to fractional-order systems, modeled by fractional-order differential equations involving derivatives of an non-integer order. This can be useful for describing and analyzing, for instance, anomalies in the behavior of various systems, chaotic behavior, etc. The book contains both analytic contributions with state-of-the-art and theoretical foundations, algorithmic implementation of tools and techniques, and—finally—some examples of relevantand successful practical applications.

Zielgruppe

Research

Autoren/Hrsg.

Kulczycki, Piotr

Korbicz, Józef

Kacprzyk, Janusz

Inhaltsverzeichnis

Fractional Dynamical Systems: State-of-the-Art.- Fractional Dynamical Systems: Mathematical Introduction.- Mixed Logical Dynamical Modeling of Discrete-time Hybrid Fractional Systems.- Fractional Variable-Order Derivative and Difference Operators and Their Applications to Dynamical Systems Modelling.- Asymptotic Behavior of Discrete Fractional Systems.- Fractional Variable-Order Linear System State-State Description Transformations.- Balanced Truncation Model Reduction in Approximation of Nabla Difference-based Discrete-time Fractional-order Systems.- State Feedback Law for Discerte-time Nonlonear Fractional Systems.- Some Specific Properties of Positive Standard and Fractional Interval Systems.- Global Stability of Nonlinear Fractional Dynamical Systems.- Controllability and Minimum Energy Control of Linear Fractional Systems.- Selected Engineering Applications of Fractional-Order Calculus.- Fractional Order State Space Models of One-dimensional Heat Transfer Process.