The characteristics method to study global exponential stability of delayed inertial neural networks

被引：0
|
作者：
Wang, Wentao [1 ]
Wu, Jihui [1 ]
Chen, Wei [2 ]
机构：
[1] Shanghai Univ Engn Sci, Sch Math Phys & Stat, Shanghai 201620, Peoples R China
[2] Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai 201209, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2025年 / 232卷
关键词：
Inertial neural networks; Global exponential stability; Delay; Characteristics method; Decay and delay-dependent; Decay and delay-independent; SYNCHRONIZATION; DYNAMICS; CHAOS; MODEL;
D O I：
10.1016/j.matcom.2024.12.021
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we address the issue of global exponential stability for a class of delayed inertial neural networks (DINNs). Employing the characteristics method, we derive several sufficient conditions, which are both decay and delay-dependent as well as decay and delay-independent, to guarantee the global exponential stability of the given neural networks. Lastly, we present three numerical examples to highlight the advantages of our novel results.
引用
收藏
页码：91 / 101
页数：11
相关论文
共 50 条
  • [31] Exponential Stability of Delayed Hopfield Neural Networks by Using Comparison Method
    Liao, Wudai
    Chen, Yuguo
    ADVANCES IN COGNITIVE NEURODYNAMICS, PROCEEDINGS, 2008, : 1005 - +
  • [32] Global Exponential Stability of Impulsive Delayed Neural Networks on Time Scales Based on Convex Combination Method
    Wan, Peng
    Zeng, Zhigang
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2022, 52 (05): : 3015 - 3024
  • [33] Exponential Stability for Delayed Cellular Neural Networks
    杨金祥
    钟守铭
    鄢克雨
    Journal of Electronic Science and Technology of China, 2005, (03) : 238 - 240
  • [34] Exponential periodicity and stability of delayed neural networks
    Sun, CY
    Feng, CB
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2004, 66 (06) : 469 - 478
  • [35] On robust exponential stability of delayed neural networks
    Li, CD
    Liao, XF
    2004 INTERNATIONAL CONFERENCE ON COMMUNICATION, CIRCUITS, AND SYSTEMS, VOLS 1 AND 2: VOL 1: COMMUNICATION THEORY AND SYSTEMS - VOL 2: SIGNAL PROCESSING, CIRCUITS AND SYSTEMS, 2004, : 1037 - 1041
  • [36] New algebraic conditions for global exponential stability of delayed recurrent neural networks
    Li, CD
    Liao, XF
    NEUROCOMPUTING, 2005, 64 : 319 - 333
  • [37] Global Exponential Stability of Delayed Neural Networks Based on a New Integral Inequality
    Liu, Yajuan
    Park, Ju H.
    Fang, Fang
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2019, 49 (11): : 2318 - 2325
  • [38] Some sufficient conditions for global exponential stability of delayed Hopfield neural networks
    Lu, HT
    Chung, FL
    He, ZY
    NEURAL NETWORKS, 2004, 17 (04) : 537 - 544
  • [39] Global exponential stability of delayed competitive neural networks with different time scales
    Lu, HT
    He, ZY
    NEURAL NETWORKS, 2005, 18 (03) : 243 - 250
  • [40] Delay-Dependent Global Exponential Stability for Delayed Recurrent Neural Networks
    Sheng, Yin
    Shen, Yi
    Zhu, Mingfu
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (12) : 2974 - 2984
12345