Design disturbance attenuating controller for memristive recurrent neural networks with mixed time-varying delays

被引：2
作者：
Xiao, Jianying [1 ]
Zhong, Shouming [2 ]
Xu, Fang [1 ]
机构：
[1] Southwest Petr Univ, Sch Sci, Chengdu, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Sichuan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
基金：
美国国家科学基金会;
关键词：
Memristor; Disturbance attenuating control; Filippov; Time-varying delays; Lyapunov-Razumikhin Theorem; GLOBAL EXPONENTIAL STABILITY; ROBUST STABILITY; SYNCHRONIZATION; SYSTEMS; STABILIZATION; PASSIVITY; CRITERION;
D O I：
10.1186/s13662-018-1641-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the design of disturbance attenuating controller for memristive recurrent neural networks (MRNNs) with mixed time-varying delays. By applying the combination of differential inclusions, set-valued maps and Lyapunov-Razumikhin, a feedback control law is obtained in the simple form of linear matrix inequality (LMI) to ensure disturbance attenuation of memristor-based neural networks. Finally, a numerical example is given to show the effectiveness of the proposed criteria.
引用
收藏
页数：14
相关论文
共 48 条
  • [1] [Anonymous], 2009, SET VALUED ANAL
  • [2] [Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides
  • [3] Global asymptotic and robust stability of recurrent neural networks with time delays
    Cao, JD
    Wang, J
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (02) : 417 - 426
  • [4] Global robust stability of delayed recurrent neural networks
    Cao, JD
    Huang, DS
    Qu, YZ
    [J]. CHAOS SOLITONS & FRACTALS, 2005, 23 (01) : 221 - 229
  • [5] Synchronization of memristor-based recurrent neural networks with two delay components based on second-order reciprocally convex approach
    Chandrasekar, A.
    Rakkiyappan, R.
    Cao, Jinde
    Lakshmanan, S.
    [J]. NEURAL NETWORKS, 2014, 57 : 79 - 93
  • [6] MEMRISTOR - MISSING CIRCUIT ELEMENT
    CHUA, LO
    [J]. IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05): : 507 - +
  • [7] Exponential passivity of BAM neural networks with time-varying delays
    Du, Yuanhua
    Zhong, Shouming
    Zhou, Nan
    Nie, Lei
    Wang, Wenqin
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 221 : 727 - 740
  • [8] Robust stability analysis of a class of neural networks with discrete time delays
    Faydasicok, Ozlem
    Arik, Sabri
    [J]. NEURAL NETWORKS, 2012, 29-30 : 52 - 59
  • [9] Existence, uniqueness, and exponential stability analysis for complex-valued memristor-based BAM neural networks with time delays
    Guo, Runan
    Zhang, Ziye
    Liu, Xiaoping
    Lin, Chong
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2017, 311 : 100 - 117
  • [10] Hale JK., 1993, Introduction To Functional Differential Equations, V99
12345