Stability analysis of fractional-order complex-valued neural networks with both leakage and discrete delays

被引:66
作者
Zhang, Lei [1 ]
Song, Qiankun [1 ]
Zhao, Zhenjiang [2 ]
机构
[1] Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
基金
中国国家自然科学基金;
关键词
Fractional-order complex-valued neural networks; Uniform stability; Leakage delay; Discrete delay; GLOBAL ASYMPTOTICAL PERIODICITY; EXPONENTIAL STABILITY; O(T(-ALPHA)) STABILITY; UNIFORM STABILITY; SYNCHRONIZATION; DYNAMICS;
D O I
10.1016/j.amc.2016.11.027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the problem of uniform stability for fractional-order complex-valued neural networks with both leakage and discrete delays is considered. Base on the contracting mapping principle, a sufficient condition is proposed for the existence and uniqueness of the equilibrium point of the addressed neural networks. By employing analysis technique, some delay-dependent criteria are established for checking the global uniform stability of the fractional-order complex-valued neural networks. Two numerical examples are presented to demonstrate the validity and feasibility of the proposed results. (C) 2016 Published by Elsevier Inc.
引用
收藏
页码:296 / 309
页数:14
相关论文
共 52 条
[1]   Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay [J].
Alofi, Abdulaziz ;
Cao, Jinde ;
Elaiw, Ahmed ;
Al-Mazrooei, Abdullah .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
[2]   Single-layered complex-valued neural network for real-valued classification problems [J].
Amin, Md. Faijul ;
Murase, Kazuyuki .
NEUROCOMPUTING, 2009, 72 (4-6) :945-955
[3]  
[Anonymous], 2006, THEORY APPL FRACTION
[4]   Projective synchronization of fractional-order memristor-based neural networks [J].
Bao, Hai-Bo ;
Cao, Jin-De .
NEURAL NETWORKS, 2015, 63 :1-9
[5]   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
[6]   Synchronization of fractional-order complex-valued neural networks with time delay [J].
Bao, Haibo ;
Park, Ju H. ;
Cao, Jinde .
NEURAL NETWORKS, 2016, 81 :16-28
[7]   Global Stability of Complex-Valued Neural Networks on Time Scales [J].
Bohner, Martin ;
Rao, V. Sree Hari ;
Sanyal, Suman .
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2011, 19 (1-2) :3-11
[8]   Global O(t-α) stability and global asymptotical periodicity for a non-autonomous fractional-order neural networks with time-varying delays [J].
Chen, Boshan ;
Chen, Jiejie .
NEURAL NETWORKS, 2016, 73 :47-57
[9]   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
[10]   Stability and synchronization of memristor-based fractional-order delayed neural networks [J].
Chen, Liping ;
Wu, Ranchao ;
Cao, Jinde ;
Liu, Jia-Bao .
NEURAL NETWORKS, 2015, 71 :37-44