Fractional dynamical systems : methods, algorithms and applications / Piotr Kulczycki, Józef Korbicz, Janusz Kacprzyk, editors.
Kulczycki, Piotr, editor.; Korbicz, Józef, editor.; Kacprzyk, Janusz, editor.
2022
QA614.8 .F73 2022
Available Online

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Title
Fractional dynamical systems : methods, algorithms and applications / Piotr Kulczycki, Józef Korbicz, Janusz Kacprzyk, editors.
ISBN
9783030899721 (electronic bk.)
3030899721 (electronic bk.)
9783030899714
3030899713
DOI
https://doi.org/10.1007/978-3-030-89972-1
Published
Cham : Springer, [2022]
Copyright
©2022
Language
English
Description
1 online resource : illustrations (some color).
Item Number
10.1007/978-3-030-89972-1 doi
Call Number
QA614.8 .F73 2022
Dewey Decimal Classification
515/.39
Summary
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, becausein generalproperties 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, andfinallysome examples of relevant and successful practical applications.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed January 20, 2022).
Added Author
Kulczycki, Piotr, editor.
Korbicz, Józef, editor.
Kacprzyk, Janusz, editor.
Series
Studies in systems, decision and control ; v. 402.
Available in Other Form
Print version: 9783030899714
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All Resources
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.

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