Stability analysis of impulsive parabolic complex networks with multiple time-varying delays

被引:8
|
作者
Wang, Jin-Liang [1 ]
Wu, Huai-Ning [1 ]
Guo, Lei [1 ]
机构
[1] Beihang Univ, Sch Automat Sci & Elect Engn, Sci & Technol Aircraft Control Lab, Beijing 100191, Peoples R China
基金
中国国家自然科学基金;
关键词
Impulsive parabolic complex network (IPCN); Time-varying delays; Global exponential stability (GES); Robust global exponential stability (RGES); PREDATOR-PREY SYSTEM; DYNAMICAL NETWORKS; SYNCHRONIZATION; DIFFUSION; MODEL; CONVERGENCE; EQUILIBRIUM; PATTERNS; CRITERIA; NODES;
D O I
10.1016/j.neucom.2012.05.024
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In the present paper, a new impulsive parabolic complex network (IPCN) with time-varying delays is proposed. Then, by constructing appropriate Lyapunov functionals and utilizing inequality techniques, some sufficient conditions are given to ensure that the proposed network model is globally exponentially stable. Furthermore, when the parameter uncertainties appear in the IPCN, several robust global exponential stability conditions are also presented. Finally, two examples with numerical simulations are provided to demonstrate the effectiveness of our criteria. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:364 / 373
页数:10
相关论文
共 50 条
  • [21] Robust stability and robust passivity of parabolic complex networks with parametric uncertainties and time-varying delays
    Wang, Jin-Liang
    Wu, Huai-Ning
    [J]. NEUROCOMPUTING, 2012, 87 : 26 - 32
  • [22] Stability Analysis of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays
    Ren Shun-Yan
    Zhao Yue-Hui
    Wang Lin-Liang
    [J]. 2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 2779 - 2782
  • [23] Stability Analysis of Multiple Equilibria for Recurrent Neural Networks with Time-Varying Delays
    Zeng, Zhigang
    Zheng, Wei Xing
    [J]. 2013 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), 2013, : 2099 - 2102
  • [24] Multiple μ-stability of neural networks with unbounded time-varying delays
    Wang, Lili
    Chen, Tianping
    [J]. NEURAL NETWORKS, 2014, 53 : 109 - 118
  • [25] Analysis and Control of Synchronization for Heterogeneous Complex Networks with Time-varying Multiple Delays
    Yang, Yuequan
    Zhang, Tianping
    Huang, Kun
    Zhu, Qing
    [J]. 2009 INTERNATIONAL CONFERENCE ON INTELLIGENT HUMAN-MACHINE SYSTEMS AND CYBERNETICS, VOL 1, PROCEEDINGS, 2009, : 214 - 217
  • [26] Exponential stability analysis for switched cellular neural networks with time-varying delays and impulsive effects
    Liu, Zixin
    Chen, Fangwei
    [J]. International Journal of Computational and Mathematical Sciences, 2010, 4 (08): : 350 - 356
  • [27] Delay-dependent stability analysis for impulsive BAM neural networks with time-varying delays
    Li, Kelin
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (08) : 2088 - 2099
  • [28] Exponential stability of periodic neural networks with impulsive effects and time-varying delays
    Shao, Yuanfu
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (16) : 6893 - 6899
  • [29] New Stability Criteria for Impulsive BAM Neural Networks with Time-Varying Delays
    Chen, Yuanqiang
    [J]. 2011 INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND NEURAL COMPUTING (FSNC 2011), VOL I, 2011, : 66 - 69
  • [30] STABILITY OF IMPULSIVE HOPFIELD NEURAL NETWORKS WITH MARKOVIAN SWITCHING AND TIME-VARYING DELAYS
    Raja, Ramachandran
    Sakthivel, Rathinasamy
    Anthoni, Selvaraj Marshal
    Kim, Hyunsoo
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2011, 21 (01) : 127 - 135