Periodic solutions for quaternion-valued fuzzy cellular neural networks with time-varying delays

被引：12
|
作者：
Li, Yongkun [1 ]
Qin, Jiali [1 ]
Li, Bing [2 ]
机构：
[1] Yunnan Univ, Dept Math, Kunming, Yunnan, Peoples R China
[2] Yunnan Nationalities Univ, Sch Math & Comp Sci, Kunming, Yunnan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期
关键词：
Quaternion-valued fuzzy cellular neural networks; Schauder fixed point theorem; Periodic solution; Global exponential stability; Time-varying delays; GLOBAL EXPONENTIAL STABILITY; SYNCHRONIZATION; EXISTENCE;
D O I：
10.1186/s13662-019-2008-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, quaternion-valued fuzzy cellular neural networks (QVFCNNs) with time-varying delays are considered. First, we decompose QVFCNNs into their equivalent real-valued systems according to Hamilton's multiplication rules. Then, we establish the existence and global exponential stability of periodic solutions of QVFCNNs by using the Schauder fixed point theorem and by constructing an appropriate Lyapunov function. Our results are completely new and supplementary to the known results. Finally, we give a numerical example to illustrate the effectiveness of our results.
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页数：23
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