Results 1 to 10 of about 4,577 (70)
Fractional-Order LQR and State Observer for a Fractional-Order Vibratory System
Applied Sciences, 2021 The present study uses linear quadratic regulator (LQR) theory to control a vibratory system modeled by a fractional-order differential equation. First, as an example of such a vibratory system, a viscoelastically damped structure is selected.
Akihiro Takeshita +3 more
doaj +1 more source
Fractional order continuity of a time semi-linear fractional diffusion-wave system
Alexandria Engineering Journal, 2020 In this work, we consider the time-fractional diffusion equations depend on fractional orders. In more detail, we study on the initial value problems for the time semi-linear fractional diffusion-wave system and discussion about continuity with respect ...
Nguyen Duc Phuong +5 more
doaj +1 more source
Synchronization of Butterfly Fractional Order Chaotic System
Mathematics, 2020 In this paper, we study the synchronization of a nonlinear fractional system, and analyze its time response and chaotic behaviors. We represent a solution for considered system by employing the Mittag-Leffler matrix function and Jacobian matrix ...
Michal Fečkan +2 more
doaj +1 more source
Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives
Fractal and Fractional, 2019 This paper proposes novel analytical solutions of the mass-spring-damper systems described by certain generalized fractional derivatives. The Liouville−Caputo left generalized fractional derivative and the left generalized fractional derivative ...
Ndolane Sene +1 more
doaj +1 more source
Controlling and synchronizing a fractional-order chaotic system using stability theory of a time-varying fractional-order system. [PDF]
PLoS ONE, 2018 Control and synchronization of fractional-order chaotic systems have attracted wide attention due to their numerous potential applications. To get suitable control method and parameters for fractional-order chaotic systems, the stability analysis of time-
Yu Huang +3 more
doaj +1 more source
Complexity Analysis and Synchronization Control of Fractional-Order Jafari-Sprott Chaotic System
IEEE Access, 2020 Aiming at the complexity problem of fractional-order Jafari-Sprott chaotic system, in this paper, Adomian decomposition method is used to study its numerical analysis and a complexity analysis method of fractional-order Jafari-Sprott chaotic system based
Guohui Li, Xiangyu Zhang, Hong Yang
doaj +1 more source
On the transformation of FOTF system to fractional order LTI model [PDF]
Archives of Control SciencesThis article addresses modeling systems using fractional order derivatives, highlighting three basic approaches: differential equations, operator methods, and state space representations.
Jacek Jagodziński, Marta Lampasiak
doaj +1 more source
Fractal and Fractional, 2021 In this study, we propose a novel fractional-order Jerk system. Experiments show that, under some suitable parameters, the fractional-order Jerk system displays a chaotic phenomenon.
Changjin Xu +5 more
doaj +1 more source
Fractal and Fractional, 2023 When an electro-optical tracking system (ETS) needs higher control precision, system identification can be considered to improve the accuracy of the system, so as to improve its control effect.
Tong Guo +3 more
doaj +1 more source
Fractional-Order System: Control Theory and Applications
Fractal and Fractional, 2022 (Fractional) differential equations have seen increasing use in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electrochemistry, and many other fields over the last two decades, providing a new and more realistic way ...
Thach Ngoc Dinh +2 more
doaj +1 more source