Results 11 to 20 of about 11,089,487 (322)
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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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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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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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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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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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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A Review of Recent Advances in Fractional-Order Sensing and Filtering Techniques
Sensors, 2021 The present manuscript aims at raising awareness of the endless possibilities of fractional calculus applied not only to system identification and control engineering, but also into sensing and filtering domains.
Cristina I. Muresan +4 more
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Fractal and Fractional, 2023 Chaos-based image encryption has become a prominent area of research in recent years. In comparison to ordinary chaotic systems, fractional-order chaotic systems tend to have a greater number of control parameters and more complex dynamical ...
Wei Feng +7 more
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Dynamical Analysis of Generalized Tumor Model with Caputo Fractional-Order Derivative
Fractal and Fractional, 2023 In this study, we perform a dynamical analysis of a generalized tumor model using the Caputo fractional-order derivative. Tumor growth models are widely used in biomedical research to understand the dynamics of tumor development and to evaluate potential
A. Padder +6 more
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