New fixed-time stability criterion and fixed-time synchronization of neural networks via non-chattering control

被引：0
|
作者：
Qian Tang
Shaocheng Qu
Wei Zheng
Xiaona Du
Zhengwen Tu
机构：
[1] Central China Normal University,College of Physical Science and Technology
[2] Chongqing Three Gorges University,College of Mathematics and Statistics
来源：
Neural Computing and Applications | 2023年 / 35卷
关键词：
Fixed-time stability; Discontinuous activation functions; Non-chattering control; Fixed-time synchronization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on the framework of Filippov solution, a non-chattering controller is presented to realize the fixed-time (FXT) stability for a nonlinear system with the discontinuous activation function. First, a novel FXT stability criterion is established through the reduction to absurdity, and the settling time is estimated. Then, by building two controllers without chattering, sufficient conditions are obtained to ensure the FXT synchronization of the drive-response system. Moreover, compared with the existing results, the FXT obtained here is less conservative and more accurate. Finally, the validity of the proposed methods is provided by two numerical examples.
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页码：6029 / 6041
页数：12
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