Results 221 to 230 of about 130,549 (263)

Iterates of Fractional Order

Canadian Journal of Mathematics, 1950
The body of this paper is a complete answer to the following question:Let E be any space whatever. g(x) is a function mapping E into E. When does there exist a function f(x), of the same type, such that(1)
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Stabilization of fractional-order unstable delay systems by fractional-order controllers

Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 2012
In the present paper stabilization of a class of fractional-order unstable delay systems by fractional-order controllers is investigated. To derive the sufficient conditions for stability, an analysis based on the Nyquist stability criterion has been adopted.
Iraj Kheirizad, Ali Akbar Jalali 0001, Khosro Khandani   +2 more
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Designing of Fractional Order PID Controller for Unstable Fractional Order System

2019 Joint International Conference on Digital Arts, Media and Technology with ECTI Northern Section Conference on Electrical, Electronics, Computer and Telecommunications Engineering (ECTI DAMT-NCON), 2019
This paper proposes the fractional-order proportional-integral-derivative (FOPID or $\mathbf { P } \mathbf { I } ^ { \lambda } \mathbf { D } ^ { \mu }$) controller design optimization for a stable fractional order (FO) system by using the flower pollination algorithm (FPA), one of the most efficient metaheuristic optimization search techniques.
Boonruk Chipipop, Deacha Puangdownreong
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Dynamical Analysis of a Fractional-Order Boost Converter with Fractional-Order Memristive Load

International Journal of Bifurcation and Chaos, 2022
In this paper, a boost converter emulator with a memristive load instead of a resistive load is proposed, and a fractional-order model of the memristive boost converter is created. Firstly, the fractional-order models of the memristor and the memristive boost converter are established respectively, and then based on different switching states, the ...
Chaojun Wu, Qi Zhang, Ningning Yang, Rong Jia, Chongxin Liu   +4 more
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Fractional‐order iterative learning control for fractional‐order linear systems

Asian Journal of Control, 2011
AbstractIn this paper, we discuss in time domain the convergence of the iterative process for fractional‐order systems. Fractional order iterative learning updating schemes are considered. For the linear time invariant (LTI) system case, the convergence conditions of the fractional‐order and integer‐order iterative learning schemes are proved to be ...
Li, Yan, Chen, YangQuan, Ahn, Hyo-Sung
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Fractional-order ADRC framework for fractional-order parallel systems

2020 39th Chinese Control Conference (CCC), 2020
This study discusses the control of parallel fractional order systems (FOSs) by the fractional-order active disturbance rejection control (FOADRC) technique. The FOADRC framework for linear FOSs and the necessary conditions for the existence of a stable controller of the system are given.
Zong-yang LI, Yi-heng WEI, Jiachang WANG, Ang LI, Jianli WANG, Yong WANG   +5 more
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The effect of the fractional-order controller's orders variation on the fractional-order control systems

Proceedings. International Conference on Machine Learning and Cybernetics, 2003
This paper concerns fractional-order controllers. The definitions and properties of fractional calculus are introduced. The mathematical descriptions of the fractional-order system and the fractional-order controller are outlined. The variation of the fractional-order controller's order and its effect on the fractional-order control systems are ...
null Qing-Shan Zeng, null Guang-Yi Cao, null Xin-Jian Zhu   +2 more
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Fractional-order Legendre operational matrix of fractional integration for solving the Riccati equation with fractional order

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bothayna S. H. Kashkari, Muhammed I. Syam   +1 more
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A Modified Fractional-Order Unscented Kalman Filter for Nonlinear Fractional-Order Systems

Circuits, Systems, and Signal Processing, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdolrahman Ramezani, Behrouz Safarinejadian   +1 more
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Variable Order and Distributed Order Fractional Operators

Nonlinear Dynamics, 2002
Many physical processes appear to exhibit fractional order behaviour that may vary with time or space. The continuum of order in the fractional calculus allows the order of the fractional operator to be considered as a variable. The paper develops the concept of variable and distributed order fractional operators.
Lorenzo, Carl F., Hartley, Tom T.
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