Dynamics of complex-valued neural networks with variable coefficients and proportional delays

被引:51
|
作者
Song, Qiankun [1 ]
Yu, Qinqin [2 ]
Zhao, Zhenjiang [3 ]
Liu, Yurong [4 ,5 ]
Alsaadi, Fuad E. [5 ]
机构
[1] Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
[2] Chongqing Jiaotong Univ, Sch Econ & Management, Chongqing 400074, Peoples R China
[3] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
[4] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China
[5] King Abdulaziz Univ, Fac Engn, Commun Syst & Networks CSN Res Grp, Jeddah 21589, Saudi Arabia
基金
中国国家自然科学基金;
关键词
Complex-valued neural networks; Boundedness; Stability; Equilibrium point; Variable coefficient; Proportional delays; GLOBAL EXPONENTIAL STABILITY; TIME-VARYING DELAYS; ASYMPTOTIC STABILITY; SYSTEMS;
D O I
10.1016/j.neucom.2017.11.041
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, the dynamics including boundedness and stability for a general class of complex-valued neural networks with variable coefficients and proportional delays are investigated. By employing inequality techniques and mathematical analysis method, some sufficient criteria to guarantee boundedness and global exponential stability are established for the considered neural networks. As a special case that the coefficients of networks are constants, sufficient criteria are also derived to guarantee the existence, uniqueness and global exponential stability of the equilibrium point. This work generalizes and improves previously known results, and the obtained criteria can be tested and applied easily in practice. An illustrative example demonstrates the feasibility of the proposed results. (c) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:2762 / 2768
页数:7
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