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

• 来源期刊: 中国物理B（英文版）
• 关键词: fractional-order neural networks finite-time sliding mode control parameters estimation
• 年，卷（期）: 2018,（1）
• 页码范围: 223-227
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/1/010202

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.