Stochastic Exponential Robust Stability of Delayed Complex-Valued Neural Networks With Markova Jumping Parameters

被引:17
|
作者
Xu, Xiaohui [1 ,2 ]
Xu, Quan [3 ]
Peng, Yiqiang [2 ]
Zhang, Jiye [4 ]
Xu, Yanhai [2 ]
机构
[1] Xihua Univ, Minist Educ, Key Lab Fluid & Power Machinery, Chengdu 610039, Sichuan, Peoples R China
[2] Xihua Univ, Sch Automobile & Transportat, Key Lab Automobile Measurement & Control & Safety, Chengdu 610039, Sichuan, Peoples R China
[3] Xihua Univ, Sch Technol, Chengdu 610039, Sichuan, Peoples R China
[4] Southwest Jiaotong Univ, Natl Tract Power Lab, Chengdu 610031, Sichuan, Peoples R China
来源
IEEE ACCESS | 2018年 / 6卷
基金
中国国家自然科学基金;
关键词
Interval neural networks; complex value; Markova jumping parameters; mixed delays; stochastic exponential robust stability; vector Lyapunov function; DISCRETE-TIME; PASSIVITY ANALYSIS; SYNCHRONIZATION; LEAKAGE; MULTISTABILITY; BOUNDEDNESS; STATE;
D O I
10.1109/ACCESS.2017.2776168
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the problem on stochastic exponential robust stability for a class of complex-valued interval neural networks with Markova jumping parameters and mixed delays, including both time-varying delays and continuously distributed delays. By applying the M-matrix theory and coupling with the vector Lyapunov function method, some sufficient conditions are derived to guarantee the existence, uniqueness, and stochastic exponential robust stability of the equilibrium point of the addressed system. The obtained results not only are easy to judge the dynamical behavior of the addressed system, but also are with lower level conservatism in comparison with some existing results. Finally, two numerical examples with simulation results are given to illustrate the effectiveness of the proposed results.
引用
收藏
页码:839 / 849
页数:11
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