Master-slave synchronization of a class of fractional-order Takagi-Sugeno fuzzy neural networks

被引：18
作者：
Zhang, Bei [1 ]
Zhuang, Jinsen [1 ]
Liu, Haidong [2 ]
Cao, Jinde [3 ]
Xia, Yonghui [4 ]
机构：
[1] Huaqiao Univ, Sch Math Sci, Quanzhou, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China
[3] Southeast Univ, Sch Math, Nanjing, Jiangsu, Peoples R China
[4] Zhejiang Normal Univ, Dept Math, Jinhua, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
基金：
中国国家自然科学基金;
关键词：
Fractional-order; Fuzzy neural networks; Synchronization; FINITE-TIME STABILITY; IMPULSIVE SYNCHRONIZATION; SYSTEMS; DELAYS; MODEL;
D O I：
10.1186/s13662-018-1918-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, studies on the synchronization of fractional-order Takagi-Sugeno (T-S) fuzzy neural networks are performed. By employing a linear matrix inequality and constructing a skillful Lyapunov function, sufficient conditions are derived to guarantee that the master system synchronizes the slave system. Finally, an example and its simulations are presented to demonstrate the feasibility of the synchronization scheme.
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收藏
页数：11
相关论文
共 38 条
[1]   Delay-dependent state estimation for T-S fuzzy delayed Hopfield neural networks [J].
Ahn, Choon Ki .
NONLINEAR DYNAMICS, 2010, 61 (03) :483-489
[2]  
[Anonymous], 2006, THEORY APPL FRACTION
[3]   Improved synchronization analysis of competitive neural networks with time-varying delays [J].
Arbi, Adnene ;
Cao, Jinde ;
Alsaedi, Ahmed .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2018, 23 (01) :82-102
[4]   Adaptive synchronization of fractional-order memristor-based neural networks with time delay [J].
Bao, Haibo ;
Park, Ju H. ;
Cao, Jinde .
NONLINEAR DYNAMICS, 2015, 82 (03) :1343-1354
[5]   Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models [J].
Cao, YY ;
Frank, PM .
FUZZY SETS AND SYSTEMS, 2001, 124 (02) :213-229
[6]   Chaos synchronization of unknown inputs Takagi-Sugeno fuzzy: Application to secure communications [J].
Chadli, M. ;
Zelinka, I. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 68 (12) :2142-2147
[7]   Application of Takagi-Sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization [J].
Chen, Diyi ;
Zhao, Weili ;
Sprott, Julien Clinton ;
Ma, Xiaoyi .
NONLINEAR DYNAMICS, 2013, 73 (03) :1495-1505
[8]   Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks [J].
Chen, Jiejie ;
Zeng, Zhigang ;
Jiang, Ping .
NEURAL NETWORKS, 2014, 51 :1-8
[9]   Exponential Synchronization of Hybrid Coupled Networks With Delayed Coupling [J].
He, Wangli ;
Cao, Jinde .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (04) :571-583
[10]   Synchronization of hybrid-coupled heterogeneous networks: Pinning control and impulsive control schemes [J].
Hu, Jianqiang ;
Liang, Jinling ;
Cao, Jinde .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (05) :2600-2622
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