Fractional Dynamical Systems: Methods, Algorithms and Applications

Piotr Kulczycki, Józef Korbicz, Janusz Kacprzyk (Herausgeber)

Buch | Hardcover

XIV, 397 Seiten

2022
Springer International Publishing (Verlag)
9783030899714 (ISBN)

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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.

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.

Erscheinungsdatum	06.01.2022
Reihe/Serie	Studies in Systems, Decision and Control
Zusatzinfo	XIV, 397 p. 131 illus., 46 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	775 g
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
Themenwelt	Technik ► Elektrotechnik / Energietechnik
Schlagworte	Computational Intelligence • Control • decision support • Optimization • Robotics
ISBN-13	9783030899714 / 9783030899714
Zustand	Neuware