Delay-Dependent Criterion for Exponential Stability Analysis of Neural Networks with Time-Varying Delays

被引:3
作者
Farnam, Arash [1 ]
Esfanjani, Reza Mahboobi [2 ]
Ahmadi, Aghil [3 ]
机构
[1] Univ Ghent, SYSTeMS Res Grp, B-9000 Ghent, Belgium
[2] Sahand Univ Technol, Dept Elect Engn, Tabriz, Iran
[3] Urmia Univ, Microelect Res Ctr, Orumiyeh, Iran
来源
IFAC PAPERSONLINE | 2016年 / 49卷 / 10期
关键词
Exponential Stability; Neural Networks; Time-Varying Delay; Linear Matrix Inequality; ASYMPTOTIC STABILITY;
D O I
10.1016/j.ifacol.2016.07.501
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This note investigates the problem of exponential stability of neural networks with time-varying delays. To derive a less conservative stability condition, a novel augmented Lyapunov-Krasovskii functional (LKF) which includes triple and quadruple-integral terms is employed. In order to reduce the complexity of the stability test, the convex combination method is utilized to derive an improved delay dependent stability criterion in the form of linear matrix inequalities (LMIs). The superiority of the proposed approach is demonstrated by two comparative examples. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All right reserved.
引用
收藏
页码:130 / 135
页数:6
相关论文
共 28 条
  • [1] [Anonymous], 1993, NEURAL NETWORKS OPTI
  • [2] Du K.-L., 2014, RECURRENT NEURAL NET
  • [3] Gahinet P., 1995, LMI Control Toolbox
  • [4] New conditions for global exponential stability of continuous-time neural networks with delays
    Gao, Haibo
    Song, Xingguo
    Ding, Liang
    Liu, Deyou
    Hao, Minghui
    [J]. NEURAL COMPUTING & APPLICATIONS, 2013, 22 (01) : 41 - 48
  • [5] New delay-dependent stability criteria for neural networks with time-varying delay
    He, Yong
    Liu, Guoping
    Rees, D.
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (01): : 310 - 314
  • [6] Delay-dependent exponential stability of delayed neural networks with time-varying delay
    He, Yong
    Wu, Min
    She, Jin-Hua
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (07) : 553 - 557
  • [7] New Exponential Stability Criteria for Neural Networks With Time-Varying Delay
    Hua, Chang-Chun
    Yang, Xian
    Yan, Jing
    Guan, Xin-Ping
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2011, 58 (12) : 931 - 935
  • [8] Stability for Neural Networks With Time-Varying Delays via Some New Approaches
    Kwon, Oh-Min
    Park, Myeong-Jin
    Lee, Sang-Moon
    Park, Ju H.
    Cha, Eun-Jong
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2013, 24 (02) : 181 - 193
  • [9] A New Model Transformation of Discrete-Time Systems With Time-Varying Delay and Its Application to Stability Analysis
    Li, Xianwei
    Gao, Huijun
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (09) : 2172 - 2178
  • [10] Stability of Hopfield neural networks with time delays and variable-time impulses
    Liu, Chao
    Li, Chuandong
    Huang, Tingwen
    Li, Chaojie
    [J]. NEURAL COMPUTING & APPLICATIONS, 2013, 22 (01) : 195 - 202