Dynamical behaviors of reaction-diffusion fuzzy neural networks with mixed delays and general boundary conditions

被引：10
|
作者：
Lv, Teng [2 ]
Yan, Ping [1 ,3 ]
机构：
[1] Anhui Agr Univ, Sch Sci, Hefei 230036, Peoples R China
[2] Artillery Acad, Teaching & Res Sect Comp, Hefei 230031, Peoples R China
[3] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 02期
关键词：
Fuzzy neural networks; Reaction-diffusion term; Topology degree theory; Lyapunov functional; EXPONENTIAL STABILITY;
D O I：
10.1016/j.cnsns.2010.04.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study delayed reaction-diffusion fuzzy neural networks with general boundary conditions. By using topology degree theory and constructing suitable Lyapunov functional, some sufficient conditions are given to ensure the existence, uniqueness and globally exponential stability of the equilibrium point. Finally, an example is given to verify the theoretical analysis. (C) 2010 Elsevier B.V. All rights reserved.
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页码：993 / 1001
页数：9
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