Fractional Dynamical Systems: Methods, Algorithms and Applications

Opis bibliograficzny
Korporacja: SpringerLink (Online service)
Kolejni autorzy: Kulczycki, Piotr (Redaktor), Korbicz, Józef (Redaktor), Kacprzyk, Janusz (Redaktor)
Streszczenie:XIV, 397 p. 131 illus., 46 illus. in color.
text
Język:angielski
Wydane: Cham : Springer International Publishing : Imprint: Springer, 2022.
Wydanie:1st ed. 2022.
Seria:Studies in Systems, Decision and Control, 402
Hasła przedmiotowe:
Dostęp online:https://doi.org/10.1007/978-3-030-89972-1
Format: Elektroniczne Książka

MARC

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245 1 0 |a Fractional Dynamical Systems: Methods, Algorithms and Applications  |h [electronic resource] /  |c edited by Piotr Kulczycki, Józef Korbicz, Janusz Kacprzyk. 
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490 1 |a Studies in Systems, Decision and Control,  |x 2198-4190 ;  |v 402 
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 relevantand successful practical applications. 
650 0 |a Control engineering. 
650 0 |a Robotics. 
650 0 |a Automation. 
650 0 |a Computational intelligence. 
650 1 4 |a Control and Systems Theory. 
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650 2 4 |a Computational Intelligence. 
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700 1 |a Korbicz, Józef.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
700 1 |a Kacprzyk, Janusz.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
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