Multistability of complex-valued neural networks with distributed delays

被引：17
|
作者：
Gong, Weiqiang [1 ]
Liang, Jinling [1 ]
Zhang, Congjun [2 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Nanjing Univ Finance & Econ, Coll Appl Math, Nanjing 210023, Jiangsu, Peoples R China
来源：
NEURAL COMPUTING & APPLICATIONS | 2017年 / 28卷
关键词：
Complex-valued neural networks; Multistability; Distributed delays; Attraction basin; TIME-VARYING DELAYS; STABILITY ANALYSIS; ASSOCIATIVE MEMORY; GLOBAL STABILITY; ACTIVATION FUNCTIONS; SYSTEMS; MODEL; STATE;
D O I：
10.1007/s00521-016-2305-9
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper addresses the multistability problem for the complex-valued neural networks with appropriate real-imaginary-type activation functions and distributed delays. Based on the geometrical properties of the activation functions and the fixed point theory, several sufficient criteria are obtained which not only guarantee the existence of 9(n) equilibrium points but also assure the local exponential stability for the 4(n) equilibrium points of them. Furthermore, the attraction basins of the 4(n) equilibrium points are also estimated, which infers that the attraction basins could be enlarged under some mild restrictions. Finally, one numerical example is provided to illustrate the effectiveness of the obtained results.
引用
收藏
页码：S1 / S14
页数：14
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