Results 1 to 10 of about 10,658,834 (304)
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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Design of unknown input fractional-order observers for fractional-order systems [PDF]
International Journal of Applied Mathematics and Computer Science, 2013 This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability
N’Doye Ibrahima +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 Impedance Control [PDF]
IEEE Access, 2020 This paper proposes a novel fractional order impedance control. In traditional impedance control model, the orders of inertia, damping, and stiffness are integers and the contact force can be reduced effectively to some extent in robots and manipulators.
Guangrong Chen +3 more
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Fractional-order autonomous circuits with order larger than one
Journal of Advanced Research, 2020 Fractional-order circuit is a kind of circuit which contains fractional-order elements. It has been proved that the fractional-order circuit has some characteristics which are hard to be achieved by integer-order circuits, such as higher degree of ...
Yanwei Jiang +3 more
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Fractional Order Generalized Information [PDF]
Entropy, 2014 This paper formulates a novel expression for entropy inspired in the properties of Fractional Calculus. The characteristics of the generalized fractional entropy are tested both in standard probability distributions and real world data series.
José Tenreiro Machado
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Fractional-Order Traveling Wave Approximations for a Fractional-Order Neural Field Model
Frontiers in Computational Neuroscience, 2022 In this work, we establish a fractional-order neural field mathematical model with Caputo's fractional derivative temporal order α considering 0 < α < 2, to analyze the effect of fractional-order on cortical wave features observed preceding seizure
Laura R. González-Ramírez
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Selectable Fractional-order Controller for Industrial Control Designs [PDF]
E3S Web of Conferences, 2023 Differential Equation (DE) of fractional-order specifically gives clear view of fractional-order systems. Since genuine processes are typically or most anticipated to be fractional, employing fractional-order’s concept might be results to take us closer ...
Walia Mandeep Singh +2 more
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Fracmemristor: Fractional-Order Memristor
IEEE Access, 2016 This paper mainly discusses an interesting conceptual framework: the fractional-order memristor (fracmemristor). It is a challenging theoretical problem to determine what the fracmemristor interpolating characteristics between the memristor and the ...
Yi-Fei Pu, Xiao Yuan
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ON FRACTIONAL ORDER MAPS AND THEIR SYNCHRONIZATION [PDF]
Fractals, 2021 We study the stability of linear fractional order maps. We show that in the stable region, the evolution is described by Mittag-Leffler functions and a well-defined effective Lyapunov exponent can be obtained in these cases. For one-dimensional systems, this exponent can be related to the corresponding fractional differential equation.
PRASHANT M. GADE, SACHIN BHALEKAR
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