Synchronous Control of Hysteretic Creep Chaotic Neural Network

A chaotic neuron with hysteretic and creep characteristics is proposed based on the conventional chaotic neuron model, with which a neural network is constructed, and the synchronous control between the hysteretic creep chaotic neuron or neural network and the deterministic chaotic neuron or neural...

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Main Authors: Chunbo Xiu, Jianguo Hou, Yakun Zang, Guowei Xu, Chang Liu
Format: Article
Language:English
Published: IEEE 2016-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/7769231/
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author Chunbo Xiu
Jianguo Hou
Yakun Zang
Guowei Xu
Chang Liu
author_facet Chunbo Xiu
Jianguo Hou
Yakun Zang
Guowei Xu
Chang Liu
author_sort Chunbo Xiu
collection DOAJ
description A chaotic neuron with hysteretic and creep characteristics is proposed based on the conventional chaotic neuron model, with which a neural network is constructed, and the synchronous control between the hysteretic creep chaotic neuron or neural network and the deterministic chaotic neuron or neural network is investigated by the sliding mode control. The hysteretic activation function of the neuron is constructed by shifting the sigmoid function. The hysteretic parameters have creep properties, which lead to the uncertain responses of the neurons. The equivalent sliding mode control law can be designed according to the error equation of the synchronous system, and the Lyapunov method is used to prove the stability of the system. Furthermore, fuzzy sliding mode control law is designed to restrain the chattering, to reduce the synchronous error, as well as to shorten the transition time. The validity of this method has been proved by simulation experiments.
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spelling doaj.art-2d10503b9ae34b51a387d63eb95d5a152022-12-21T22:23:38ZengIEEEIEEE Access2169-35362016-01-0148617862410.1109/ACCESS.2016.26321667769231Synchronous Control of Hysteretic Creep Chaotic Neural NetworkChunbo Xiu0https://orcid.org/0000-0003-3382-0569Jianguo Hou1Yakun Zang2Guowei Xu3Chang Liu4School of Electrical Engineering and Automation, Tianjin polytechnic University, Tianjin, ChinaSchool of Electrical Engineering and Automation, Tianjin polytechnic University, Tianjin, ChinaSchool of Electrical Engineering and Automation, Tianjin polytechnic University, Tianjin, ChinaSchool of Electrical Engineering and Automation, Tianjin polytechnic University, Tianjin, ChinaSchool of Electrical Engineering and Automation, Tianjin polytechnic University, Tianjin, ChinaA chaotic neuron with hysteretic and creep characteristics is proposed based on the conventional chaotic neuron model, with which a neural network is constructed, and the synchronous control between the hysteretic creep chaotic neuron or neural network and the deterministic chaotic neuron or neural network is investigated by the sliding mode control. The hysteretic activation function of the neuron is constructed by shifting the sigmoid function. The hysteretic parameters have creep properties, which lead to the uncertain responses of the neurons. The equivalent sliding mode control law can be designed according to the error equation of the synchronous system, and the Lyapunov method is used to prove the stability of the system. Furthermore, fuzzy sliding mode control law is designed to restrain the chattering, to reduce the synchronous error, as well as to shorten the transition time. The validity of this method has been proved by simulation experiments.https://ieeexplore.ieee.org/document/7769231/Hysteresiscreepchaosneural networkssynchronous
spellingShingle Chunbo Xiu
Jianguo Hou
Yakun Zang
Guowei Xu
Chang Liu
Synchronous Control of Hysteretic Creep Chaotic Neural Network
IEEE Access
Hysteresis
creep
chaos
neural networks
synchronous
title Synchronous Control of Hysteretic Creep Chaotic Neural Network
title_full Synchronous Control of Hysteretic Creep Chaotic Neural Network
title_fullStr Synchronous Control of Hysteretic Creep Chaotic Neural Network
title_full_unstemmed Synchronous Control of Hysteretic Creep Chaotic Neural Network
title_short Synchronous Control of Hysteretic Creep Chaotic Neural Network
title_sort synchronous control of hysteretic creep chaotic neural network
topic Hysteresis
creep
chaos
neural networks
synchronous
url https://ieeexplore.ieee.org/document/7769231/
work_keys_str_mv AT chunboxiu synchronouscontrolofhystereticcreepchaoticneuralnetwork
AT jianguohou synchronouscontrolofhystereticcreepchaoticneuralnetwork
AT yakunzang synchronouscontrolofhystereticcreepchaoticneuralnetwork
AT guoweixu synchronouscontrolofhystereticcreepchaoticneuralnetwork
AT changliu synchronouscontrolofhystereticcreepchaoticneuralnetwork