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Measurement Units and Physical Dimensions of Fractance-Part II: Fractional-Order Measurement Units and Physical Dimensions of Fractance and Rules for Fractors in Series and Parallel

open access: yesIEEE Access, 2016
Here and in the companion paper (Part I), a novel conceptual framework on the measurement units and physical dimensions of fractance and rules for fractors in series and parallel is mainly discussed.
Yi-Fei Pu
doaj   +5 more sources

Measurement Units and Physical Dimensions of Fractance-Part I: Position of Purely Ideal Fractor in Chua’s Axiomatic Circuit Element System and Fractional-Order Reactance of Fractor in Its Natural Implementation

open access: yesIEEE Access, 2016
Here and in the companion paper (Part II), a novel conceptual framework on the measurement units and physical dimensions of fractance and rules for fractors in series and parallel is mainly discussed. The term fractor arose following the successful synthesis of a fractional-order capacitor or a fractional-order inductor in an analog circuit. Fractor is
Yi-Fei Pu
exaly   +6 more sources

Measurement Units and Physical Dimensions of Fractance-Part I: Position of Purely Ideal Fractor in Chua’s Axiomatic Circuit Element System and Fractional-Order Reactance of Fractor in Its Natural Implementation

open access: yesIEEE Access, 2016
Here and in the companion paper (Part II), a novel conceptual framework on the measurement units and physical dimensions of fractance and rules for fractors in series and parallel is mainly discussed.
Yi-Fei Pu
doaj   +1 more source

Modeling and Characteristics Analysis for a Buck‐Boost Converter in Pseudo‐Continuous Conduction Mode Based on Fractional Calculus

open access: yesMathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016
In recent days, fractional calculus (FC) has been accepted as a novel modeling tool that can extend the descriptive power of the traditional calculus. Fractional‐order descriptiveness can increase the flexibility and degrees of freedom of the model by means of fractional parameters.
Ningning Yang   +4 more
wiley   +1 more source

The Active Fractional Order Control for Maglev Suspension System

open access: yesMathematical Problems in Engineering, Volume 2015, Issue 1, 2015., 2015
Maglev suspension system is the core part of maglev train. In the practical application, the load uncertainties, inherent nonlinearity, and misalignment between sensors and actuators are the main issues that should be solved carefully. In order to design a suitable controller, the attention is paid to the fractional order controller.
Peichang Yu   +3 more
wiley   +1 more source

Theoretical Analysis and Circuit Verification for Fractional‐Order Chaotic Behavior in a New Hyperchaotic System

open access: yesMathematical Problems in Engineering, Volume 2014, Issue 1, 2014., 2014
A novel nonlinear four‐dimensional hyperchaotic system and its fractional‐order form are presented. Some dynamical behaviors of this system are further investigated, including Poincaré mapping, parameter phase portraits, equilibrium points, bifurcations, and calculated Lyapunov exponents.
Ling Liu, Chongxin Liu, Jun Cheng
wiley   +1 more source

A Review of Recent Advances in Fractional-Order Sensing and Filtering Techniques. [PDF]

open access: yesSensors (Basel), 2021
Muresan CI   +4 more
europepmc   +1 more source

Design, synthesis and simulation of fractional-order element using MOS transistors as distributed resistive capacitive devices. [PDF]

open access: yesSci Rep
Kubanek D   +8 more
europepmc   +1 more source
Some of the next articles are maybe not open access.

Material performance measurement of a promising circuit element: fractor-part II: measurement units and physical dimensions of fractance and rules for fractors in series and parallel

Materials Research Innovations, 2015
AbstractUp to now, no effective physical performance measurements have been proposed for fractor, a promising circuit element, especially with regard to the measurement units and physical dimensions of fractance. Motivated by this need, in this paper, I study the physical performance measurement of fractor.
openaire   +3 more sources

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