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Fractional dynamical systemsmethods, algorithms and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional dynamical systemsedited by Piotr Kulczycki, Jozef Korbicz, Janusz Kacprzyk.
Reminder of title:	methods, algorithms and applications /
other author:	Kulczycki, Piotr.
Published:	Cham :Springer International Publishing :2022.
Description:	xiv, 397 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Differentiable dynamical systems.
Online resource:	https://doi.org/10.1007/978-3-030-89972-1
ISBN:	9783030899721$q(electronic bk.)

Fractional dynamical systemsmethods, algorithms and applications /
Fractional dynamical systemsmethods, algorithms and applications /[electronic resource] :edited by Piotr Kulczycki, Jozef Korbicz, Janusz Kacprzyk. - Cham :Springer International Publishing :2022. - xiv, 397 p. :ill. (some col.), digital ;24 cm. - Studies in systems, decision and control,v. 4022198-4190 ;. - Studies in systems, decision and control ;v.3..

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.

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 relevant and successful practical applications.

ISBN: 9783030899721$q(electronic bk.)

Standard No.: 10.1007/978-3-030-89972-1doiSubjects--Topical Terms:

183764
Differentiable dynamical systems.

LC Class. No.: QA614.8 / .F73 2022

Dewey Class. No.: 515.39

Fractional dynamical systemsmethods, algorithms and applications /
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245 0 0 $a Fractional dynamical systems $h [electronic resource] : $b methods, algorithms and applications / $c edited by Piotr Kulczycki, Jozef Korbicz, Janusz Kacprzyk.
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300 $a xiv, 397 p. : $b ill. (some col.), digital ; $c 24 cm.
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505 0 $a 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.
520 $a 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 relevant and successful practical applications.
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