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Fractional Dynamical Systems: Methods, Algorithms and Applications

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fractional Dynamical Systems: Methods, Algorithms and Applications/ edited by Piotr Kulczycki, Józef Korbicz, Janusz Kacprzyk.
其他作者:	Kacprzyk, Janusz.
面頁冊數:	XIV, 397 p. 131 illus., 46 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Computational Intelligence. -
電子資源:	https://doi.org/10.1007/978-3-030-89972-1
ISBN:	9783030899721

Fractional Dynamical Systems: Methods, Algorithms and Applications
Fractional Dynamical Systems: Methods, Algorithms and Applications[electronic resource] /edited by Piotr Kulczycki, Józef Korbicz, Janusz Kacprzyk. - 1st ed. 2022. - XIV, 397 p. 131 illus., 46 illus. in color.online resource. - Studies in Systems, Decision and Control,4022198-4190 ;. - Studies in Systems, Decision and Control,27.

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

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

768837
Computational Intelligence.

LC Class. No.: TJ212-225

Dewey Class. No.: 629.8312

Fractional Dynamical Systems: Methods, Algorithms and Applications
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