Finite-time robust control of uncertain fractional-order Hopfield neural networks via sliding mode control

doi:10.1088/1674-1056/27/1/010202

中国物理B ›› 2018, Vol. 27 ›› Issue (1): 10202-010202.doi: 10.1088/1674-1056/27/1/010202

Finite-time robust control of uncertain fractional-order Hopfield neural networks via sliding mode control

Yangui Xi(喜彦贵), Yongguang Yu(于永光), Shuo Zhang(张硕), Xudong Hai(海旭东)

Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China

收稿日期:2017-05-05 修回日期:2017-09-25 出版日期:2018-01-05 发布日期:2018-01-05
通讯作者: Yongguang Yu E-mail:ygyu@bjtu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11371049 and 61772063) and the Fundamental Research Funds for the Central Universities, China (Grant No. 2016JBM070).

Finite-time robust control of uncertain fractional-order Hopfield neural networks via sliding mode control

Yangui Xi(喜彦贵), Yongguang Yu(于永光), Shuo Zhang(张硕), Xudong Hai(海旭东)

Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China

Received:2017-05-05 Revised:2017-09-25 Online:2018-01-05 Published:2018-01-05
Contact: Yongguang Yu E-mail:ygyu@bjtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11371049 and 61772063) and the Fundamental Research Funds for the Central Universities, China (Grant No. 2016JBM070).

摘要/Abstract

摘要： The finite-time control of uncertain fractional-order Hopfield neural networks is investigated in this paper. A switched terminal sliding surface is proposed for a class of uncertain fractional-order Hopfield neural networks. Then a robust control law is designed to ensure the occurrence of the sliding motion for stabilization of the fractional-order Hopfield neural networks. Besides, for the unknown parameters of the fractional-order Hopfield neural networks, some estimations are made. Based on the fractional-order Lyapunov theory, the finite-time stability of the sliding surface to origin is proved well. Finally, a typical example of three-dimensional uncertain fractional-order Hopfield neural networks is employed to demonstrate the validity of the proposed method.

关键词: fractional-order neural networks, finite-time, sliding mode control, parameters estimation

Abstract: The finite-time control of uncertain fractional-order Hopfield neural networks is investigated in this paper. A switched terminal sliding surface is proposed for a class of uncertain fractional-order Hopfield neural networks. Then a robust control law is designed to ensure the occurrence of the sliding motion for stabilization of the fractional-order Hopfield neural networks. Besides, for the unknown parameters of the fractional-order Hopfield neural networks, some estimations are made. Based on the fractional-order Lyapunov theory, the finite-time stability of the sliding surface to origin is proved well. Finally, a typical example of three-dimensional uncertain fractional-order Hopfield neural networks is employed to demonstrate the validity of the proposed method.

Key words: fractional-order neural networks, finite-time, sliding mode control, parameters estimation

中图分类号: (Control theory)

02.30.Yy

喜彦贵, 于永光, 张硕, 海旭东. Finite-time robust control of uncertain fractional-order Hopfield neural networks via sliding mode control[J]. 中国物理B, 2018, 27(1): 10202-010202.

Yangui Xi(喜彦贵), Yongguang Yu(于永光), Shuo Zhang(张硕), Xudong Hai(海旭东). Finite-time robust control of uncertain fractional-order Hopfield neural networks via sliding mode control[J]. Chin. Phys. B, 2018, 27(1): 10202-010202.

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Finite-time robust control of uncertain fractional-order Hopfield neural networks via sliding mode control

Finite-time robust control of uncertain fractional-order Hopfield neural networks via sliding mode control

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