Fractional Dynamical Systems: Methods, Algorithms and Applications
Fractional Dynamical Systems: Methods, Algorithms and Applications
edited by Piotr Kulczycki, Józef Korbicz, Janusz Kacprzyk
- First edition 2022
- 1 recurso en línea (XIV, 397 páginas) 131 ilustraciones, 46 ilustraciones a color
- Studies in Systems Decision and Control 402 2198-4190 .
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.
9783030899721
10.1007/978-3-030-89972-1 doi
Dinámica
Algoritmos
Matemáticas
QA9.58 / 2022 ES
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.
9783030899721
10.1007/978-3-030-89972-1 doi
Dinámica
Algoritmos
Matemáticas
QA9.58 / 2022 ES