The stochastic fixed-time synchronization of delays neural networks driven by Levy noise

被引：0
作者：
Li, Chao [1 ]
Xu, Xiaofeng [2 ]
Liu, Ming [1 ]
机构：
[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Heilongjiang, Peoples R China
[2] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2024年 / 190卷
基金：
中国国家自然科学基金;
关键词：
Stochastic; Neural networks; Fixed-time synchronization; Levy noise; Time-delays; STABILITY; SYSTEMS; DESIGN;
D O I：
10.1016/j.sysconle.2024.105839
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper focuses on the fixed-time synchronization of stochastic cellular neural networks (SCNNs) via mixed delays. The stochastic disturbances we considered in SCNNs include not only white noise but also Levy noise firstly. By utilizing inequality and Lyapunov theory , new criteria ensuring fixed-time synchronization of SCNNs driven by Levy noise are established. The estimation formula of settling time differs from those discovered in previous literature. Besides, the fixed-time synchronization of SCNNs via Levy noise has been discussed by using a new theorem by designing appropriate control strategies, and adequate conditions are attained to realize the fixed-time synchronization of SCNNs. In the end, a numerical example is provided to illustrate the validity of the results we proved.
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页数：9
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