A new result on L2–L∞ performance state estimation of neural networks with time-varying delay: A new result on L2–L∞ performance state estimation of neural networks with time-varying delay

被引:0
|
作者
Tan G. [1 ]
Wang J. [1 ,2 ]
Wang Z. [1 ]
机构
[1] College of Information Science and Engineering, Northeastern University, Shenyang
[2] School of Electrical Engineering, North China University of Water Resources and Electric Power, Zhengzhou
来源
Neurocomputing | 2021年 / 398卷
基金
中国国家自然科学基金;
关键词
L[!sub]2[!/sub]–L[!sub]∞[!/sub] performance; Neural networks; Second-order Bessel–Legendre inequality; State estimation; Time delay;
D O I
10.1016/j.neucom.2020.02.059
中图分类号
学科分类号
摘要
This paper is concerned with the L2–L∞ performance state estimation problem of delayed neural networks. Firstly, the second-order Bessel–Legendre inequality based on reciprocally convex approach is proposed. Secondly, based on the improved integral inequality, a new delay-dependent condition is derived, which ensures the asymptotic stability of estimation error system with L2–L∞ performance. As a result, the estimator gain matrix and the optimal L2–L∞ performance level are obtained. Simulation results are finally shown to illustrate the effectiveness of the proposed approach. © 2020 Elsevier B.V.
引用
收藏
页码:166 / 171
页数:5
相关论文
共 50 条
  • [41] L2 STABILITY OF TIME-VARYING LINEAR SYSTEMS
    VIDYASAGAR, M
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1971, AC16 (03) : 268 - +
  • [42] A New Stability Condition of Neural Networks with Time-Varying Delay
    Chen, Yun
    Zheng, Wei Xing
    PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 336 - 340
  • [43] New passivity criteria for neural networks with time-varying delay
    Zhang, Zexu
    Mou, Shaoshuai
    Lam, James
    Gao, Huijun
    NEURAL NETWORKS, 2009, 22 (07) : 864 - 868
  • [44] Delay-Dependent State Estimation of Static Neural Networks with Time-Varying and Distributed Delays
    Shao, Lei
    Huang, He
    Zhao, Heming
    Huang, Tingwen
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [45] Further results on state estimation for neural networks of neutral-type with time-varying delay
    Park, Ju H.
    Kwon, O. M.
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (01) : 69 - 75
  • [46] Improved results on H∞ state estimation of static neural networks with interval time-varying delay
    Shu, Yanjun
    Liu, Xinge
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, : 1 - 16
  • [47] Delay-dependent H∞ state estimation of neural networks with mixed time-varying delays
    Lakshmanan, S.
    Mathiyalagan, K.
    Park, Ju H.
    Sakthivel, R.
    Rihan, Fathalla A.
    NEUROCOMPUTING, 2014, 129 : 392 - 400
  • [48] Delay-dependent stability and robust L2 - L∞ control for a class of fuzzy descriptor systems with time-varying delay
    Kchaou, Mourad
    Souissi, Mansour
    Toumi, Ahmed
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (03) : 284 - 304
  • [49] A new result on reachable set estimation for Markovian jump neural networks with time-varying delays
    Zhi, Ya-Li
    Wu, Yan-Yan
    Zhang, Yan
    Yang, Guozhi
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2025,
  • [50] The performance of discrete linear time-varying control for l2 disturbance rejection
    Zhang, JX
    Zhang, C
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2003, 34 (12-13) : 651 - 659