Existence and Exponential Stability of Periodic Solution to Fuzzy Cellular Neural Networks with Distributed Delays

被引：36
|
作者：
Xu, Changjin [1 ]
Zhang, Qiming [2 ]
Wu, Yusen [3 ]
机构：
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China
[2] Hunan Univ Technol, Coll Sci, Zhuzhou 412007, Peoples R China
[3] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China
来源：
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS | 2016年 / 18卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Fuzzy cellular neural networks; Exponential stability; Periodic solution; Distributed delay; Topological degree theory; Global asymptotic stability; GLOBAL ASYMPTOTIC STABILITY; DYNAMICAL BEHAVIORS; VARIABLE DELAYS; SYNCHRONIZATION; DISCRETE; CRITERIA;
D O I：
10.1007/s40815-015-0103-7
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, fuzzy cellular neural network with distributed delays is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global exponential stability of periodic solution of such fuzzy cellular neural networks with distributed delays are established. An example is given to illustrate the feasibility of our main theoretical findings. Finally, the paper ends with a brief conclusion. Some interesting numerical simulations that complement our analytical findings.
引用
收藏
页码：41 / 51
页数：11
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