Comments on “Chaotic Characteristics Analysis and Circuit Implementation for a Fractional-Order System”

IEEE Transactions on Circuits and Systems I Regular Papers ◽

10.1109/tcsi.2014.2342372 ◽

2015 ◽

Vol 62 (1) ◽

pp. 329-332 ◽

Author(s):

Mohammad Saleh Tavazoei

Keyword(s):

Fractional Order ◽

Fractional Order System ◽

Order System ◽

Circuit Implementation ◽

Characteristics Analysis

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Chaotic Characteristics Analysis and Circuit Implementation for a Fractional-Order System

IEEE Transactions on Circuits and Systems I Regular Papers ◽

10.1109/tcsi.2013.2283999 ◽

2014 ◽

Vol 61 (3) ◽

pp. 845-853 ◽

Author(s):

H. Y. Jia ◽

Z. Q. Chen ◽

G. Y. Qi

Keyword(s):

Fractional Order ◽

Fractional Order System ◽

Order System ◽

Circuit Implementation ◽

Characteristics Analysis

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Coexisting attractors, crisis route to chaos in a novel 4D fractional-order system and variable-order circuit implementation

The European Physical Journal Plus ◽

10.1140/epjp/i2019-12434-4 ◽

2019 ◽

Vol 134 (2) ◽

Author(s):

Chengyi Zhou ◽

Zhijun Li ◽

Fei Xie

Keyword(s):

Fractional Order ◽

Fractional Order System ◽

Order System ◽

Variable Order ◽

Circuit Implementation ◽

Coexisting Attractors ◽

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Circuit implementation of a new hyperchaos in fractional-order system

Chinese Physics B ◽

10.1088/1674-1056/17/8/014 ◽

2008 ◽

Vol 17 (8) ◽

pp. 2829-2836 ◽

Author(s):

Liu Chong-Xin ◽

Liu Ling

Keyword(s):

Fractional Order ◽

Fractional Order System ◽

Order System ◽

Circuit Implementation

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Improved Chaotic Dynamics of a Fractional-Order System, its Chaos-Suppressed Synchronisation and Circuit Implementation

Circuits Systems and Signal Processing ◽

10.1007/s00034-016-0276-9 ◽

2016 ◽

Vol 35 (6) ◽

pp. 1871-1907 ◽

Author(s):

Manashita Borah ◽

Piyush P. Singh ◽

Binoy K. Roy

Keyword(s):

Fractional Order ◽

Chaotic Dynamics ◽

Fractional Order System ◽

Order System ◽

Circuit Implementation

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Bagley-Torvik fractional order system performance characteristics analysis

2016 8th International Conference on Modelling, Identification and Control (ICMIC) ◽

10.1109/icmic.2016.7804284 ◽

2016 ◽

Author(s):

K. Gherfi ◽

A. Charef ◽

H. A. Abbassi

Keyword(s):

Fractional Order ◽

System Performance ◽

Fractional Order System ◽

Performance Characteristics ◽

Order System ◽

Characteristics Analysis

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Online Parameter Estimation for Lithium-ion Battery by using Adaptive Observer for Fractional Order System

IEEJ Transactions on Electronics Information and Systems ◽

10.1541/ieejeiss.137.1015 ◽

2017 ◽

Vol 137 (8) ◽

pp. 1015-1023

Author(s):

Takahiro Takamatsu ◽

Hiromitsu Ohmori

Keyword(s):

Parameter Estimation ◽

Lithium Ion Battery ◽

Fractional Order ◽

Lithium Ion ◽

Fractional Order System ◽

Adaptive Observer ◽

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Simultaneous Identification of Fractional-order System Structure and Order and Parameters Based on Alternately Transforming Condensed Information Matrix

ACTA AUTOMATICA SINICA ◽

10.3724/sp.j.1004.2012.01280 ◽

2012 ◽

Vol 38 (8) ◽

pp. 1280 ◽

Author(s):

Cheng-Xiang ZHU ◽

Yun ZOU

Keyword(s):

Fractional Order ◽

Information Matrix ◽

Fractional Order System ◽

System Structure ◽

Order System ◽

Simultaneous Identification

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Fractional Order System Identification with Occupation Kernel Regression

IEEE Control Systems Letters ◽

10.1109/lcsys.2020.3046408 ◽

2020 ◽

pp. 1-1

Author(s):

Xiuying Li ◽

Joel A Rosenfeld

Keyword(s):

System Identification ◽

Fractional Order ◽

Kernel Regression ◽

Fractional Order System ◽

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Numerical treatment of a fractional order system of nonlinear stochastic delay differential equations using a computational scheme

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.111018 ◽

2021 ◽

Vol 149 ◽

pp. 111018

Author(s):

Lingyun He ◽

Seddigheh Banihashemi ◽

Hossein Jafari ◽

Afshin Babaei

Keyword(s):

Differential Equations ◽

Fractional Order ◽

Delay Differential Equations ◽

Fractional Order System ◽

Computational Scheme ◽

Order System ◽

Numerical Treatment ◽

Stochastic Delay Differential Equations ◽

Stochastic Delay ◽

Delay Differential

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Adaptive Synchronization of a Stochastic Fractional-Order System

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.733.939 ◽

2015 ◽

Vol 733 ◽

pp. 939-942

Author(s):

Xiao Jun Liu

Keyword(s):

Numerical Simulations ◽

Fractional Order ◽

Stochastic System ◽

Fractional Order System ◽

Adaptive Synchronization ◽

Order System ◽

Unknown Parameters ◽

In this paper, adaptive synchronization of a stochastic fractional-order system with unknown parameters is studied. Firstly, the stochastic system is reduced into the equivalent deterministic one with Laguerre approximation. Then, the synchronization for the system is realized by designing appropriate controllers and adaptive laws of the unknown parameters. Numerical simulations are carried out to demonstrate the effectiveness of the controllers and laws.

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