Lagrange exponential stability of quaternion-valued memristive neural networks with time delays

被引：37
|
作者：
Wei, Ruoyu [1 ]
Cao, Jinde [1 ]
Huang, Chuangxia [2 ]
机构：
[1] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[2] Changsha Univ Sci & Technol, Dept Appl Math, Changsha, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 12期
关键词：
Lagrange exponential stability; memristor; neural networks; quaternion; time delays;
D O I：
10.1002/mma.6463
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the Lagrange global exponential stability of the quaternion-valued memristive neural networks (QVMNNs). Two kinds of activation functions based on different assumptions are considered. Then, based on the Lyapunov function approach, decomposition method, and some inequality skills, two novel sufficient conditions for lagrange stability of QVMNNs are provided corresponding to different types of activation functions. Lastly, simulation examples are provided to demonstrate the correctness of our theoretical results.
引用
收藏
页码：7269 / 7291
页数：23
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