New delay dependent stability criteria for recurrent neural networks with interval time-varying delay

被引：29
作者：
Yang, Qiongfen [1 ]
Ren, Quanhong [1 ]
Xie, Xuemei [2 ]
机构：
[1] Mianyang Normal Univ, Sch Math & Comp Sci, Mianyang 621000, Sichuan, Peoples R China
[2] Mianyang Normal Univ, Sch Marxism, Mianyang 621000, Sichuan, Peoples R China
来源：
ISA TRANSACTIONS | 2014年 / 53卷 / 04期
关键词：
Recurrent neural networks; Linear matrix inequality; Time delay; ROBUST STABILITY; STATE ESTIMATION; LINEAR-SYSTEMS; DISCRETE;
D O I：
10.1016/j.isatra.2014.05.009
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 paper is concerned with the delay dependent stability criteria for a class of static recurrent neural networks with interval time-varying delay. By choosing an appropriate Lyapunov-Krasovskii functional and employing a delay partitioning method, the less conservative condition is obtained. Furthermore, the LMIs-based condition depend on the lower and upper bounds of time delay. Finally, a numerical example is also designated to verify the reduced conservatism of developed criteria. (c) 2014 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：994 / 999
页数：6
相关论文
共 24 条
  • [1] New stability criteria for recurrent neural networks with interval time-varying delay
    Bai, Yong-Qiang
    Chen, Jie
    [J]. NEUROCOMPUTING, 2013, 121 : 179 - 184
  • [2] Cheng J, 2013, INT J SYST SCI
  • [3] Finite-time boundedness of state estimation for neural networks with time-varying delays
    Cheng, Jun
    Zhong, Shouming
    Zhong, Qishui
    Zhu, Hong
    Du, Yuanhua
    [J]. NEUROCOMPUTING, 2014, 129 : 257 - 264
  • [4] Finite-time H∞ control for a class of Markovian jump systems with mode-dependent time-varying delays via new Lyapunov functionals
    Cheng, Jun
    Zhu, Hong
    Zhong, Shouming
    Zeng, Yong
    Dong, Xiucheng
    [J]. ISA TRANSACTIONS, 2013, 52 (06) : 768 - 774
  • [5] Delay-range-dependent stability for systems with time-varying delay
    He, Yong
    Wang, Qing-Guo
    Lin, Chong
    Wu, Min
    [J]. AUTOMATICA, 2007, 43 (02) : 371 - 376
  • [6] A new augmented Lyapunov-Krasovskii functional approach to exponential passivity for neural networks with time-varying delays
    Kwon, O. M.
    Park, Ju H.
    Lee, S. M.
    Cha, E. J.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (24) : 10231 - 10238
  • [7] Liu G., 2001, Nonlinear Identification and Control: A Neural Network Approach
  • [8] Further improvement on delay-range-dependent stability results for linear systems with interval time-varying delays
    Liu, Pin-Lin
    [J]. ISA TRANSACTIONS, 2013, 52 (06) : 725 - 729
  • [9] A delay-dependent asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays
    Park, Ju H.
    Cho, Hyun J.
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 33 (02) : 436 - 442
  • [10] Stability and robust stability for systems with a time-varying delay
    Park, PooGyeon
    Ko, Jeong Wan
    [J]. AUTOMATICA, 2007, 43 (10) : 1855 - 1858
123