A Novel Condition for Robust Stability of Delayed Neural Networks

被引:0
|
作者
Ozcan, Neyir [1 ]
Yucel, Eylem [2 ]
Arik, Sabri [2 ]
机构
[1] Uludag Univ, Dept Elect & Elect Engn, Bursa, Turkey
[2] Istanbul Univ, Dept Comp Engn, Istanbul, Turkey
来源
NEURAL INFORMATION PROCESSING, PT III | 2015年 / 9491卷
关键词
Neural networks; Lyapunov functionals; Stability analysis; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; CRITERIA; MATRICES;
D O I
10.1007/978-3-319-26555-1_31
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 presents a novel sufficient condition for the existence, uniqueness and global robust asymptotic stability of the equilibrium point for the class of delayed neural networks by using the Homomorphic mapping and the Lyapunov stability theorems. An important feature of the obtained result is its low computational complexity as the reported result can be verified by checking some well-known properties of some certain classes of matrices, which simplify the verification of the derived result.
引用
收藏
页码:273 / 280
页数:8
相关论文
共 50 条
  • [21] Global robust stability of interval delayed neural networks
    Singh, V.
    IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (06) : 741 - 749
  • [22] Robust Adaptive Synchronization Control for a Class of Perturbed and Delayed Neural Networks
    Jin, Xiaozheng
    Guan, Wei
    Ye, Dan
    NEURAL PROCESSING LETTERS, 2014, 39 (03) : 219 - 234
  • [23] New stability results for delayed neural networks
    Shao, Hanyong
    Li, Huanhuan
    Zhu, Chuanjie
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 311 : 324 - 334
  • [24] Stability analysis of delayed neural networks based on improved quadratic function condition
    Kong, Guo-Qiang
    Guo, Liang-Dong
    NEUROCOMPUTING, 2023, 524 : 158 - 166
  • [25] Robust stability of hopfield delayed neural networks via an augmented L-K functional
    Ali, M. Syed
    Gunasekaran, N.
    Rani, M. Esther
    NEUROCOMPUTING, 2017, 234 : 198 - 204
  • [26] Robust stability of stochastic delayed genetic regulatory networks
    Wang, Zhengxia
    Liu, Guodong
    Sun, Yanhong
    Wu, Hongli
    COGNITIVE NEURODYNAMICS, 2009, 3 (03) : 271 - 280
  • [27] Equilibrium and stability analysis of delayed neural networks under parameter uncertainties
    Faydasicok, Ozlem
    Arik, Sabri
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (12) : 6716 - 6726
  • [28] Global robust stability of delayed neural networks with a class of general activation functions
    Huang, H
    Cao, JD
    Qu, YZ
    JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2004, 69 (04) : 688 - 700
  • [29] Global robust stability of uncertain delayed neural networks with discontinuous neuron activation
    Xiao, Jian
    Zeng, Zhigang
    NEURAL COMPUTING & APPLICATIONS, 2014, 24 (05) : 1191 - 1198
  • [30] Stability Analysis for Delayed Neural Networks Based on A Sufficient and Necessary Condition on Polynomial Inequalities
    Long, Fei
    He, Yong
    IECON 2021 - 47TH ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, 2021,