Synchronization analysis for discrete fractional-order complex-valued neural networks with time delays

被引：33
|
作者：
Liu, Xiang [1 ]
Yu, Yongguang [2 ]
机构：
[1] Hebei Normal Univ, Postdoctoral Res Stn Math, Sch Math Sci, Shijiazhuang 050024, Hebei, Peoples R China
[2] Beijing Jiaotong Univ, Dept Automat, Beijing 100244, Peoples R China
来源：
NEURAL COMPUTING & APPLICATIONS | 2021年 / 33卷 / 16期
关键词：
Discrete fractional-order complex-valued neural networks; Generalized discrete fractional Halanay inequality; Projective synchronization;
D O I：
10.1007/s00521-021-05808-y
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we do not separate the complex-valued neural networks into two real-valued systems, the quasi-projective synchronization and complete synchronization of fractional-order complex-valued neural networks with time delays are investigated. First, the generalized discrete fractional Halanay inequality with bounded time delays is established. Further, based on the generalized discrete fractional Halanay inequality and Lyapunov functional method, several novel quasi-projective synchronization and complete synchronization conditions of fractional-order complex-valued neural networks with time delays are derived. Finally, several examples are presented to illustrated the results.
引用
收藏
页码：10503 / 10514
页数：12
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