摘要
研究了一类带反应扩散项的模糊复杂网络的同步问题.针对带反应扩散项的复杂网络,设计了一种状态反馈控制器.模糊模型和模糊控制器的隶属度函数与之前研究不同,并且使用分段线性隶属函数来近似原有的隶属函数.利用分段线性隶属函数的特性、格林公式和一些矩阵不等式技术,以线性矩阵不等式的形式给出了保证系统同步的与隶属函数相关的同步条件.最后通过数值算例验证了分析结果,并说明了所提同步条件的有效性.
This paper studied the synchronization problem of a fuzzy complex network with reaction-diffusion term,and designed a state feedback controller for the fuzzy complex network with reaction-diffusion term.Unlike the published work,the membership functions of fuzzy model and fuzzy controller were different in this paper.And the piecewise linear membership function was used to approximate the original membership function.Based on the property of piecewise linear membership function,Green’s theorem,and some matrix inequality techniques,the synchronization conditions of dependent membership function were given in the form of linear matrix inequalities(LMIs).Finally,a numerical example was given to verify the results of the analysis and to demonstrate the validity of the proposed synchronization conditions.
作者
张夏
黄迟
ZHANG Xia;HUANG Chi(College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China;School of Economic Information and Engineering,Southwestern University of Finance and Economics,Chengdu 611130,China)
出处
《中北大学学报（自然科学版）》
CAS
2020年第1期11-18,23,共9页
Journal of North University of China(Natural Science Edition)
基金
国家自然科学基金资助项目（61603268)
关键词
T-S模糊模型
同步
反应扩散方程
分段线性隶属函数
T-S fuzzy model
synchronization
reaction-diffusion equation
piecewise linear membership function
