Improved Exponential Stability for Delayed Neural Networks With Large Delay Based on Relaxed Piecewise Lyapunov-Krasovskii Functional

被引:5
|
作者
Fan, Yu-Long [1 ,2 ]
Xu, Jin-Meng [1 ,2 ]
Zhang, Chuan-Ke [1 ,2 ]
Liu, Yunfan [1 ,2 ]
He, Yong [1 ,2 ]
机构
[1] China Univ Geosci, Sch Automat, Hubei Key Lab Adv Control & Intelligent Automation, Wuhan 430074, Peoples R China
[2] China Univ Geosci, Engn Res Ctr Intelligent Technol Geoexplorat, Minist Educ, Wuhan 430074, Peoples R China
基金
中国国家自然科学基金;
关键词
Exponential stability; delayed neural networks; switching; large delay; SYSTEMS;
D O I
10.1109/TCSII.2023.3237560
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this brief, the stability of neural networks with switching between small and large time delays is studied by developing an improved exponential stability criterion. Firstly, the delayed neural network (DNN) with small delay (SD) and large delay (LD) is modeled as a switched DNN. Then, based on an augmented piecewise Lyapunov-Krasovskii functional with LD-based terms considering relaxed switching constraints, and Wiritinger-based inequality, a stability criterion with less conservatism is developed. Finally, a numerical example is provided to demonstrate the superiority and effectiveness of the proposed method.
引用
收藏
页码:2510 / 2514
页数:5
相关论文
共 50 条
  • [1] Stability Analysis of Distributed Delay Neural Networks Based on Relaxed Lyapunov-Krasovskii Functionals
    Zhang, Baoyong
    Lam, James
    Xu, Shengyuan
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2015, 26 (07) : 1480 - 1492
  • [2] Delay-dependent exponential stability analysis of fuzzy delayed Hopfield neural networks: a fuzzy Lyapunov-Krasovskii functional approach
    Sheng, Li
    Yang, Huizhong
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 4296 - 4301
  • [3] On exponential stability of switched systems with delay: Lyapunov-Krasovskii functional approach
    Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
    不详
    Xitong Gongcheng Lilum yu Shijian, 2007, 7 (111-115+143): : 111 - 115
  • [4] New stability conditions of delayed neural networks via improved Lyapunov-Krasovskii functionals
    Lin, Huichao
    Zeng, Hongbing
    PROCEEDINGS OF THE 32ND 2020 CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2020), 2020, : 3836 - 3841
  • [5] Exponential stability analysis of neural networks with a time-varying delay via a generalized Lyapunov-Krasovskii functional method
    Li, Xu
    Liu, Haibo
    Liu, Kuo
    Li, Te
    Wang, Yongqing
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (03) : 716 - 732
  • [6] A new Lyapunov-Krasovskii functional for stability analysis of delayed neural network
    Mahto, Sharat Chandra
    Gautam, Thakur Pranav Kumar
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2024, 12 (10) : 3652 - 3658
  • [7] A relaxed Lyapunov-Krasovskii condition for global exponential stability of Lipschitz time-delay systems
    Chaillet, Antoine
    Orlowski, Jakub
    Pepe, Pierdomenico
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 43 - 48
  • [8] Stability analysis for delayed neural networks based on the augmented Lyapunov-Krasovskii functional with delay-product-type and multiple integral terms
    Tian, Yufeng
    Wang, Zhanshan
    NEUROCOMPUTING, 2020, 410 : 295 - 303
  • [9] Improved stability criteria for the neural networks with time-varying delay via new augmented Lyapunov-Krasovskii functional
    Gao, Zhen-Man
    He, Yong
    Wu, Min
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 349 : 258 - 269
  • [10] New Lyapunov-Krasovskii Functionals for Global Asymptotic Stability of Delayed Neural Networks
    Zhang, Xian-Ming
    Han, Qing-Long
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (03): : 533 - 539