Advances in Fractional Calculus

Theoretical Developments and Applications in Physics and Engineering

Inbunden, Engelska, 2007

AvJ. Sabatier,O. P. Agrawal,J. A. Tenreiro Machado

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In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing.

Produktinformation

Utgivningsdatum2007-07-11
Mått155 x 235 x 39 mm
Vikt1 022 g
FormatInbunden
SpråkEngelska
Antal sidor552
FörlagSpringer-Verlag New York Inc.
ISBN9781402060410

Tillhör följande kategorier

Analytical and Numerical Techniques.- Three Classes of FDEs Amenable to Approximation Using a Galerkin Technique.- Enumeration of the Real Zeros of the Mittag-Leffler Function E?(z), 1Operators on Field Programmable Gate Arrays.- Complex Order-Distributions Using Conjugated order Differintegrals.- Viscoelastic and Disordered Media.- Fractional Derivative Consideration on Nonlinear Viscoelastic Statical and Dynamical Behavior under Large Pre-Displacement.- Quasi-Fractals: New Possibilities in Description of Disordered Media.- Fractional Damping: Stochastic Origin and Finite Approximations.- Analytical Modelling and Experimental Identification of Viscoelastic Mechanical Systems.- Control.- LMI Characterization of Fractional Systems Stability.- Active Wave Control for Flexible Structures Using Fractional Calculus.- Fractional-order Control of a Flexible Manipulator.- Tuning Rules for Fractional PIDs.- Frequency Band-Limited Fractional Differentiator Prefilter in Path Tracking Design.- Flatness Control of a Fractional Thermal System.- Robustness Comparison of Smith Predictor-based Control and Fractional-Order Control.- Robust Design of an Anti-windup Compensated 3rd-Generation Crone Controller.- Robustness of Fractional-order Boundary Control of Time Fractional Wave Equations with Delayed Boundary Measurement Using the Simple Predictor.