A new LMI condition for delay-dependent asymptotic stability of delayed Hopfield neural networks

被引:172
作者
Xu, SY [1 ]
Lam, J
Ho, DWC
机构
[1] Nanjing Univ Sci & Technol, Dept Automat, Nanjing 210094, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[3] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2006年 / 53卷 / 03期
关键词
global asymptotic stability; Hopfield neural networks; linear matrix inequality; time delays;
D O I
10.1109/TCSII.2005.857764
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, a new delay-dependent asymptotic stability condition for delayed Hopfield neural networks is given in terms of a linear matrix inequality, which is less conservative than existing ones in the literature. This condition guarantees the existence of a unique equilibrium point and its global asymptotic stability of a given delayed Hopfield neural network. Examples are provided to show the reduced conservatism of the proposed condition.
引用
收藏
页码:230 / 234
页数:5
相关论文
共 22 条
[1]   Global asymptotic stability of a larger class of neural networks with constant time delay [J].
Arik, S .
PHYSICS LETTERS A, 2003, 311 (06) :504-511
[2]   Global asymptotic stability of a class of dynamical neural networks [J].
Arik, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04) :568-571
[3]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[4]   Global stability conditions for delayed CNNs [J].
Cao, J. .
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001, 48 (11) :1330-1333
[5]   Global asymptotic and robust stability of recurrent neural networks with time delays [J].
Cao, JD ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (02) :417-426
[6]   A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach [J].
Cao, JD ;
Ho, DWC .
CHAOS SOLITONS & FRACTALS, 2005, 24 (05) :1317-1329
[7]   Enhanced electrodeposition of indium hexacyanoferrate thin films through improved plating solution stability [J].
Chen, LC ;
Tseng, KS ;
Ho, KC .
JOURNAL OF SOLID STATE ELECTROCHEMISTRY, 2002, 7 (01) :1-5
[8]  
Cichocki A., 1993, Neural Networks for Optimization and Signal Processing
[9]   A SYNTHESIS PROCEDURE FOR HOPFIELD CONTINUOUS-TIME ASSOCIATIVE MEMORY [J].
FARRELL, JA ;
MICHEL, AN .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (07) :877-884
[10]   NEURONS WITH GRADED RESPONSE HAVE COLLECTIVE COMPUTATIONAL PROPERTIES LIKE THOSE OF 2-STATE NEURONS [J].
HOPFIELD, JJ .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1984, 81 (10) :3088-3092