Global exponential stability analysis of neural networks with an interval time-varying delay via an extended free-matrix-based double integral inequality

被引：0
作者：
Zhang, Fen [1 ]
Li, Zhi [2 ]
Zhang, Yanbang [1 ]
机构：
[1] Xianyang Normal Univ, Coll Math & Informat Sci, Xianyang 712000, Shaanxi, Peoples R China
[2] Xidian Univ, Dept Automat Control, Xian 710071, Shaanxi, Peoples R China
来源：
2021 PROCEEDINGS OF THE 40TH CHINESE CONTROL CONFERENCE (CCC) | 2021年
关键词：
DISCRETE; SYNCHRONIZATION; CRITERIA;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the paper, we study exponential stability of neural networks with an interval time-varying delay. Firstly, we propose an extended free-matrix-based double integral inequality (FMDI) to estimate the double integral terms in the derivative of Lyapunov-Krasovskii functional (LKF). Secondly, we compare the extended FMDI and the FMDI and show that the former encompasses the latter as a special case. Finally, to show the advantages of the extended FMDI over Wirtinger-based double integral inequality (WBDI), we use the two different inequalities to investigate the exponential stability of delayed neural networks and derive new exponential stability criteria based on the same LKF. Moreover, the conservatism comparison of the criteria are illustrated through one numerical example.
引用
收藏
页码：1032 / 1037
页数：6
相关论文
共 30 条
  • [1] Global asymptotic stability of neural networks with transmission delays
    Cao, JD
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2000, 31 (10) : 1313 - 1316
  • [2] CELLULAR NEURAL NETWORKS - THEORY
    CHUA, LO
    YANG, L
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10): : 1257 - 1272
  • [3] Improved exponential stability criteria for time-varying delayed neural networks
    Ding, Yucai
    Shi, Kaibo
    Liu, Hui
    [J]. NEUROCOMPUTING, 2015, 168 : 283 - 297
  • [4] Gu K., 2003, CONTROL ENGN SER BIR
  • [5] Delay-dependent exponential stability of delayed neural networks with time-varying delay
    He, Yong
    Wu, Min
    She, Jin-Hua
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (07) : 553 - 557
  • [6] Global exponential stability of neural networks with time-varying delay based on free-matrix-based integral inequality
    He, Yong
    Ji, Meng-Di
    Zhang, Chuan-Ke
    Wu, Min
    [J]. NEURAL NETWORKS, 2016, 77 : 80 - 86
  • [7] Stability analysis of time-delay systems via free-matrix-based double integral inequality
    Hua, Changchun
    Wu, Shuangshuang
    Yang, Xian
    Guan, Xinping
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (02) : 257 - 263
  • [8] Further results on exponential stability of neural networks with time-varying delay
    Ji, Meng-Di
    He, Yong
    Wu, Min
    Zhang, Chuan-Ke
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 256 : 175 - 182
  • [9] Stability for Neural Networks With Time-Varying Delays via Some New Approaches
    Kwon, Oh-Min
    Park, Myeong-Jin
    Lee, Sang-Moon
    Park, Ju H.
    Cha, Eun-Jong
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2013, 24 (02) : 181 - 193
  • [10] Refined Jensen-based inequality approach to stability analysis of time-delay systems
    Le Van Hien
    Hieu Trinh
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (14) : 2188 - 2194
123