Fractional Dynamical Systems: Methods, Algorithms and Applications
(Sprache: Englisch)
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...
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Klappentext zu „Fractional Dynamical Systems: Methods, Algorithms and Applications “
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.
Inhaltsverzeichnis zu „Fractional Dynamical Systems: Methods, Algorithms and Applications “
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.
Bibliographische Angaben
- 2022, 1st ed. 2022, XIV, 397 Seiten, 46 farbige Abbildungen, Masse: 15,5 x 23,5 cm, Gebunden, Englisch
- Herausgegeben: Piotr Kulczycki, Józef Korbicz, Janusz Kacprzyk
- Verlag: Springer, Berlin
- ISBN-10: 3030899713
- ISBN-13: 9783030899714
Sprache:
Englisch
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