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.
引用
收藏
页码：6029 / 6041
页数：12
相关论文
共 50 条
[31]   Fixed-time synchronization criteria for complex networks via quantized pinning control [J].
Zhang, Wanli ;
Li, Hongfei ;
Li, Chuandong ;
Li, Zunbin ;
Yang, Xinsong .
ISA TRANSACTIONS, 2019, 91 :151-156
[32]   Fixed-Time Synchronization Control of Delayed Dynamical Complex Networks [J].
Liu, Mei ;
Lu, Binglong ;
Li, Zhanfeng ;
Jiang, Haijun ;
Hu, Cheng .
ENTROPY, 2021, 23 (12)
[33]   Fixed-Time Synchronization of Coupled Neural Networks With Discontinuous Activation and Mismatched Parameters [J].
Li, Na ;
Wu, Xiaoqun ;
Feng, Jianwen ;
Xu, Yuhua ;
Lu, Jinhu .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 32 (06) :2470-2482
[34]   A New Fixed-Time Stability Criterion and Its Application to Synchronization Control of Memristor-Based Fuzzy Inertial Neural Networks with Proportional Delay [J].
Zhang, Yadan ;
Jiang, Minghui ;
Fang, Xue .
NEURAL PROCESSING LETTERS, 2020, 52 (02) :1291-1315
[35]   A New Fixed-Time Stability Criterion and Its Application to Synchronization Control of Memristor-Based Fuzzy Inertial Neural Networks with Proportional Delay [J].
Yadan Zhang ;
Minghui Jiang ;
Xue Fang .
Neural Processing Letters, 2020, 52 :1291-1315
[36]   Fixed-Time Synchronization of Coupled Discontinuous Neural Networks with Nonidentical Perturbations [J].
Zhu, Xusen ;
Yang, Xinsong ;
Alsaadi, Fuad E. ;
Hayat, Tasawar .
NEURAL PROCESSING LETTERS, 2018, 48 (02) :1161-1174
[37]   Fixed-time Synchronization of Fractional-order Hopfield Neural Networks [J].
Xu Mei ;
Yucai Ding .
International Journal of Control, Automation and Systems, 2022, 20 :3584-3591
[38]   Bifurcation, chaos and fixed-time synchronization of memristor cellular neural networks [J].
Chen, Qun ;
Li, Bo ;
Yin, Wei ;
Jiang, Xiaowei ;
Chen, Xiangyong .
CHAOS SOLITONS & FRACTALS, 2023, 171
[39]   Fixed-Time Synchronization of Coupled Discontinuous Neural Networks with Nonidentical Perturbations [J].
Xusen Zhu ;
Xinsong Yang ;
Fuad E. Alsaadi ;
Tasawar Hayat .
Neural Processing Letters, 2018, 48 :1161-1174
[40]   Fixed-time synchronization of spatiotemporal Cohen-Grossberg neural networks via aperiodic intermittent control [J].
Abudireman, Aminamuhan ;
Abdurahman, Abdujelil ;
Jiang, Haijun .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2025, 150
12345