Stability Analysis of Delayed Neural Networks via Composite-Matrix-Based Integral Inequality

被引：2
|
作者：
Shi, Yupeng [1 ]
Ye, Dayong [2 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China
[2] Northeastern Univ, Sch Mech Engn & Automation, Shenyang 110819, Peoples R China
来源：
MATHEMATICS | 2023年 / 11卷 / 11期
关键词：
neural networks; time-varying delay; stability analysis; integral inequality; delay derivative; TIME-VARYING DELAYS; DEPENDENT STABILITY; SYSTEMS;
D O I：
10.3390/math11112518
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper revisits the problem of stability analyses for neural networks with time-varying delay. A composite-matrix-based integral inequality (CMBII) is presented, which takes the delay derivative into account. In this case, the coupling information can be fully captured in integral inequalities with the delay derivative. Based on a CMBII, a new stability criterion is derived for neural networks with time-varying delay. The effectiveness of this method is verified by a numerical example.
引用
收藏
页数：13
相关论文
共 50 条
  • [41] New results on stability analysis of delayed recurrent neural networks based on the integral quadratic constraints approach
    Zheng, Min
    Li, Kang
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2014, 36 (06) : 780 - 788
  • [42] Stability analysis of delayed neural networks
    Arik, S
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (07): : 1089 - 1092
  • [43] Stability analysis of nonlinear system identification via delayed neural networks
    Rubio, Jose de Jesus
    Yu, Wen
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2007, 54 (02) : 161 - 165
  • [44] Stability Analysis for Delayed Neural Networks via Some Switching Methods
    Li, Xu
    Wang, Rui
    Yang, Bin
    Wang, Wei
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2020, 50 (05): : 1690 - 1695
  • [45] Stability analysis of time-delay systems via free-matrix-based double integral inequality
    Hua, Changchun
    Wu, Shuangshuang
    Yang, Xian
    Guan, Xinping
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (02) : 257 - 263
  • [46] Stability Analysis for Delayed Neural Networks via Improved Auxiliary Polynomial-Based Functions
    Li, Zhichen
    Yan, Huaicheng
    Zhang, Hao
    Zhan, Xisheng
    Huang, Congzhi
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2019, 30 (08) : 2562 - 2568
  • [47] Enhanced stability criteria of neural networks with time-varying delays via a generalized free-weighting matrix integral inequality
    Park, M. J.
    Lee, S. H.
    Kwon, O. M.
    Ryu, J. H.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (14): : 6531 - 6548
  • [48] A matrix-separation-based integral inequality for aperiodic sampled-data synchronization of delayed neural networks considering communication delay
    Wang, H. -Z
    Shangguan, X. -C
    Xiong, D.
    An, Y. -H
    Jin, L.
    APPLIED MATHEMATICS AND COMPUTATION, 2025, 486
  • [49] Linear matrix inequality approach to passive filtering for delayed neural networks
    Ahn, C. K.
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2010, 224 (I8) : 1040 - 1047
  • [50] Stability and synchronization analysis of neural networks via Halanay-type inequality
    Liu, Xin-Ge
    Wang, Feng-Xian
    Tang, Mei-Lan
    Qiu, Sai-Bing
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 319 : 14 - 23
12345