JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2010, Vol. 40 ›› Issue (4): 53-56.

• Articles • Previous Articles     Next Articles

A new delay-dependent global asymptotic stability forneural networks with time-varying delays

LIU Guo-cai, LIU Yu-chang, JU Pei-jun   

  1. Department of Mathematics and System Science, Taishan University, Tai’an 271021, China
  • Received:2009-12-16 Online:2010-08-16 Published:2009-12-16

PDF (PC)

1083

Abstract:

The asymptotic stability of neural networks with time-varying delays was studied. By the use of the Lyapunov-Krasovskii functional and integralequality approach, sufficient conditions were developed to ensure that the delayed neural network has a unique equilibrium point and global asymptotic stability. Monotone was not required by the activation function, and the delayderivative could be 1 or more than 1. Reduced conservativeness of the proposed method was verified with an example.
 

Key words: global asymptotic stability, linear matrix inequality, neural network, integral-equality approach

[1] SHEN Dongdong, ZHOU Fengyu, LI Mengyuan, WANG Shuqian, GUO Renhe. Indoor wireless positioning based on ensemble deep neural network [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(5): 95-102.
[2] ZHANG Pu, LIU Chang, WANG Yong. Suggestion sentence classification model based on feature fusion and ensemble learning [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(5): 47-54.
[3] LIANG Mengmeng, ZHOU Tao, XIA Yong, ZHANG Feifei, YANG Jian. Lung tumor images recognition based on PSO-ConvK convolutional neural network [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(5): 77-84.
[4] ZHANG Xianhong, ZHANG Chunrui. Image enhancement algorithm based on six dimensional feedforward neural network model [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(4): 10-19.
[5] ZHAO Yanxia, WANG Xizhao. Multipurpose zero watermarking algorithm for color image based on SVD and DCNN [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(3): 25-33.
[6] CAO Ya, DENG Zhaohong, WANG Shitong. An radial basis function neural network model based on monotonic constraints [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(3): 127-133.
[7] XIE Zhifeng, WU Jiaping, MA Lizhuang. Chinese financial news classification method based on convolutional neural network [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(3): 34-39.
[8] HE Zhengyi, ZENG Xianhua, GUO Jiang. An ensemble method with convolutional neural network and deep belief network for gait recognition and simulation [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(3): 88-95.
[9] LI Yuxin, PU Yuanyuan, XU Dan, QIAN Wenhua, LIU Hejuan. Image aesthetic quality evaluation based on embedded fine-tune deep CNN [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(3): 60-66.
[10] TANG Leshuang, TIAN Guohui, HUANG Bin. An object fusion recognition algorithm based on DSmT [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(1): 50-56.
[11] WANG Xiuqing, ZENG Hui, XIE Fei, LYU Feng. Fault diagnosis for manipulators based on Spiking neural networks [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 15-21.
[12] WU Yanming, WANG Ruiyun, WANG Zhanshan. Fault detection for multi-agent systems based on intermediate observer [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 96-102.
[13] QIU Lu, YE Yinzhong, JIANG Chundi. Fault diagnostic method for micro-grid based on wavelet singularity entropy and SOM neural network [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 118-122.
[14] WU Jianping, JIANG Bin, LIU Jianwei. Fault diagnosis of asynchronous motor based on wavelet packet entropy and wavelet neural network [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(5): 223-228.
[15] LIU Fan, CHEN Zehua, CHAI Jing. A new multi-focus image fusion method based on deep neural network model [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2016, 46(3): 7-13.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of Journal of Shandong University (Engineering Science)
Supported by Beijing Magtech Co.Ltd