Results 11 to 20 of about 10,025,076 (325)
Event-based fractional order control
Journal of Advanced Research, 2020 The present study provides a generalization of event-based control to the field of fractional calculus, combining the benefits brought by the two approaches into an industrial-suitable control strategy.
Isabela Birs +3 more
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Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers [PDF]
Discrete Dynamics in Nature and Society, 2014 In this paper, the synchronization of fractional-order chaotic systems is studied and a new fractional-order controller for hyperchaos synchronization is presented based on the Lyapunov stability theory. The proposed synchronized method can be applied to
Tianzeng Li, Yu Wang, Yong Yang
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Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems [PDF]
Advances in Mathematical Physics, 2018 Some sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated.
Chenhui Wang
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Fractional Order Difference Equations [PDF]
International Journal of Differential Equations, 2012 A difference equation is a relation between the differences of a function at one or more general values of the independent variable. These equations usually describe the evolution of certain phenomena over the course of time. The present paper deals with
J. Jagan Mohan, G. V. S. R. Deekshitulu
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Novel encryption for color images using fractional-order hyperchaotic system
Journal of Ambient Intelligence and Humanized Computing, 2022 The fractional-order functions show better performance than their corresponding integer-order functions in various image processing applications. In this paper, the authors propose a novel utilization of fractional-order chaotic systems in color image ...
Khalid M. Hosny +2 more
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IEEE Access, 2021 The interest in fractional-order (FO) control can be traced back to the late nineteenth century. The growing tendency towards using fractional-order proportional-integral-derivative (FOPID) control has been fueled mainly by the fact that these ...
A. Tepljakov +7 more
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Applied Sciences, 2020 A detailed analysis of an operational transconductance amplifier based gyrator implementing a fractional-order inductance simulator is presented.
David Kubanek +4 more
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A Review of Recent Developments in Autotuning Methods for Fractional-Order Controllers
Fractal and Fractional, 2022 The scientific community has recently seen a fast-growing number of publications tackling the topic of fractional-order controllers in general, with a focus on the fractional order PID.
C. Muresan +4 more
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Differences of fractional order [PDF]
Mathematics of Computation, 1974 Derivatives of fractional order, D α f {D^\alpha }f , have been considered extensively in the literature. However, little attention seems to have been given to finite differences of fractional order, Δ α f
Diaz, J. B., Osler, T. J.
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Geometrical study and solutions for family of burgers-like equation with fractional order space time
Alexandria Engineering Journal, 2022 One of the basic hydrodynamic models is the famous Burgers formula. This describes the creation of the sticky particle velocity field which interacts only when it collides.
Emad A-B. Abdel-Salam +2 more
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