New global asymptotic stability of discrete-time recurrent neural networks with multiple time-varying delays in the leakage term and impulsive effects

被引：20
作者：
Balasundaram, K. [1 ]
Raja, R. [2 ]
Zhu, Quanxin [3 ,4 ,5 ]
Chandrasekaran, S. [6 ]
Zhou, Hongwei [7 ]
机构：
[1] Sri Vijay Vidyalaya Coll Arts & Sci, Dept Math, Dharmapuri 636807, India
[2] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi 630004, Tamil Nadu, India
[3] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
[4] Nanjing Normal Univ, Inst Finance & Stat, Nanjing 210023, Jiangsu, Peoples R China
[5] Univ Bielefeld, Dept Math, D-33615 Bielefeld, Germany
[6] Khadir Mohideen Coll, Dept Math, Adirampattinam 614701, Thanjavur, India
[7] Nanjing Xiaozhuang Univ, Sch Math & Informat Technol, Nanjing 211171, Jiangsu, Peoples R China
来源：
NEUROCOMPUTING | 2016年 / 214卷
基金：
中国国家自然科学基金;
关键词：
Leakage delay; Asymptotic stability; Recurrent neural network; Delay-dependent; Linear matrix inequality; Impulse; Time-varying delay; EXPONENTIAL STABILITY; NEUTRAL-TYPE; DEPENDENT STABILITY; DISTRIBUTED DELAYS; PASSIVITY ANALYSIS; CRITERIA; ANALOGS;
D O I：
10.1016/j.neucom.2016.06.040
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper investigates the problem of discrete-time stochastic recurrent neural networks with multiple time-varying delays in the leakage terms and impulses. A new set of sufficient conditions are obtained by constructing an appropriate Lyapunov-Krasovskii functional combining with linear matrix inequality technique and free weighting matrix method. The obtained delay-dependent stability conditions are expressed in terms of linear matrix inequalities and it can be solved via some available software packages. Up to now, the asymptotic stability problem is studied for discrete-delay in the leakage terms. For the first time in our paper, we have considered distributed delays and impulses for such kind of networks. In addition, we have provided a numerical example to demonstrate the effectiveness of our obtained stability results for the theoretical section. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：420 / 429
页数：10
相关论文
共 36 条
  • [11] Leakage delays in BAM
    Gopalsamy, K.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (02) : 1117 - 1132
  • [12] Robust exponential stability analysis of discrete-time switched Hopfield neural networks with time delay
    Hou, Linlin
    Zong, Guangdeng
    Wu, Yuqiang
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2011, 5 (03) : 525 - 534
  • [13] Less conservative stability criteria for stochastic discrete-time recurrent neural networks with the time-varying delay
    Hou, Liyuan
    Zhu, Hong
    Zhong, Shouming
    Zhang, Yuping
    Zeng, Yong
    [J]. NEUROCOMPUTING, 2013, 115 : 72 - 80
  • [14] Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations
    Li, Xiaodi
    Fu, Xilin
    Balasubramaniam, P.
    Rakkiyappan, R.
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) : 4092 - 4108
  • [15] Delay-dependent stability of neural networks of neutral type with time delay in the leakage term
    Li, Xiaodi
    Cao, Jinde
    [J]. NONLINEARITY, 2010, 23 (07) : 1709 - 1726
  • [16] Anti-periodic solutions to impulsive shunting inhibitory cellular neural networks with distributed delays on time scales
    Li, Yongkun
    Shu, Jiangye
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (08) : 3326 - 3336
  • [17] Synchronization and state estimation for discrete-time complex networks with distributed delays
    Liu, Yurong
    Wang, Zidong
    Liang, Jinling
    Liu, Xiaohui
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (05): : 1314 - 1325
  • [18] Robust stability of discrete-time stochastic neural networks with time-varying delays
    Liu, Yurong
    Wang, Zidong
    Liu, Xiaohui
    [J]. NEUROCOMPUTING, 2008, 71 (4-6) : 823 - 833
  • [19] Global exponential stability of generalized recurrent neural networks with discrete and distributed delays
    Liu, Yurong
    Wang, Zidong
    Liu, Xiaohui
    [J]. NEURAL NETWORKS, 2006, 19 (05) : 667 - 675
  • [20] Robust stability analysis for discrete-time stochastic neural networks systems with time-varying delays
    Luo, Mengzhuo
    Zhong, Shouming
    Wang, Rongjun
    Kang, Wei
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 209 (02) : 305 - 313
1234