Results 221 to 230 of about 127,292 (260)
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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)
openaire   +1 more source

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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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.
openaire   +2 more sources

Fractional-Order PID

2012
Thinking of Laplace and frequency domains, it should not be hard for the feedback control community to understand that, by considering more general control actions of the form s α ,α∈ℝ, we could achieve more satisfactory compromises between the positive and negative effects of the basic control actions (proportional, derivative, and integral ones) on ...
Blas M. Vinagre, Concepción A. Monje
openaire   +1 more source

Fractional Order Models

2015
In a letter to L’Hospital in 1695, Leibniz raised the possibility of generalizing the operation of differentiation to non-integer orders and L’Hospital asked what would be the result of half-differentiating a variable. Leibniz in an open letter dated September 30, 1695 replied “It leads to a paradox, from which 1 day useful consequences will be drawn”.
J. Sabatier, C. Farges, A. Oustaloup
openaire   +1 more source

Fractional-Order Devices

2017
This book focuses on two specific areas related to fractional order systems – the realization of physical devices characterized by non-integer order impedance, usually called fractional-order elements (FOEs); and the characterization of vegetable tissues via electrical impedance spectroscopy (EIS) – and provides readers with new tools for designing new
Biswas K.   +5 more
openaire   +2 more sources

Fractional bond order

Journal of Chemical Education, 1985
Question designed to test the students' understanding of multicenter bonding and elementary molecular orbital theory.
openaire   +1 more source

Neural-Network-Based Adaptive DSC Design for Switched Fractional-Order Nonlinear Systems

IEEE Transactions on Neural Networks and Learning Systems, 2021
Shuai Sui, C P Chen, Shaocheng Tong
exaly  

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