Results 1 to 10 of about 166,780,780 (65)
IEEE 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 +6 more sources
IEEE 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 +7 more sources
IEEE 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
Mathematical Problems in Engineering, Volume 2019, Issue 1, 2019., 2019 In this paper, a novel three‐dimensional fractional‐order chaotic system without equilibrium, which can present symmetric hidden coexisting chaotic attractors, is proposed. Dynamical characteristics of the fractional‐order system are analyzed fully through numerical simulations, mainly including finite‐time local Lyapunov exponents, bifurcation diagram,
Guangchao Zheng +3 more
wiley +1 more source
Robust Control of Disturbed Fractional‐Order Economical Chaotic Systems with Uncertain Parameters
Complexity, Volume 2019, Issue 1, 2019., 2019 This paper focuses on the robust control of fractional‐order economical chaotic system (FOECS) with parametric uncertainties and external disturbances. The dynamical behavior of FOECS is studied by numerical simulation, and circuit implementations of FOECS are also given.
Song Xu +4 more
wiley +1 more source
Normalized Robust FOPID Controller Regulation Based on Small Gain Theorem
Complexity, Volume 2018, Issue 1, 2018., 2018 In this paper, a normalized robust FOPID controller regulation algorithm is proposed. Only one parameter k is necessary to be tuned in the controller regulation process, so the proposed control algorithm is convenient to be applied on both fractional‐order systems and integer‐order systems.
Shuo Zhang +2 more
wiley +1 more source
Computational and Mathematical Methods in Medicine, Volume 2018, Issue 1, 2018., 2018 In this study, the mathematical model examined the dynamics between pathogen and specific immune system cells (memory T cells) for diseases such as chronic infection and cancer in which nonspecific immune system cells are inadequate to destroy the pathogen and has been suggested by using a system of the fractional‐order differential equation with multi‐
Bahatdin Daşbaşı, Chung-Min Liao
wiley +1 more source
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016 Three circuit models using constant phase elements are investigated to represent the human body impedance against contact currents from 40 Hz to 110 MHz. The parameters required to represent the impedance are determined using a nonlinear least squares fitting (NLSF) applied to the averaged human body impedance dataset. The three fractional‐order models
Todd J. Freeborn +3 more
wiley +1 more source
The Active Fractional Order Control for Maglev Suspension System
Mathematical 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
Mathematical 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