A global exponential robust stability criterion for interval delayed neural networks with variable delays

被引：28
作者：
Li, CD [1 ]
Liao, XF
Zhang, R
机构：
[1] Chongqing Univ, Coll Comp Sci, Chongqing 400030, Peoples R China
[2] Chongqing Univ, Coll Econ & Business Adm, Chongqing 400030, Peoples R China
来源：
NEUROCOMPUTING | 2006年 / 69卷 / 7-9期
基金：
中国国家自然科学基金;
关键词：
interval delayed neural networks (IDNN); exponential robust stability; variable delay; Lyapunov-Krasovskii functional; linear matrix; inequality (LMI);
D O I：
10.1016/j.neucom.2005.04.009
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The issue of exponential robust stability for interval delayed neural networks with variable delays is studied. An approach combining the Lyapunov-Krasovskii functional with the differential inequality and linear matrix inequality techniques is taken to investigate this problem. The proposed criterion for exponential stability generalizes and improves those reported recently in the literature. Two numerical examples are also presented to illustrate our results. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：803 / 809
页数：7
相关论文
共 34 条
[1]   Global robust stability of delayed neural networks [J].
Arik, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :156-160
[2]   HOW DELAYS AFFECT NEURAL DYNAMICS AND LEARNING [J].
BALDI, P ;
ATIYA, AF .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (04) :612-621
[3]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[4]   Globally exponentially robust stability and periodicity of delayed neural networks [J].
Cao, J ;
Chen, TP .
CHAOS SOLITONS & FRACTALS, 2004, 22 (04) :957-963
[5]   Boundedness and stability for Cohen-Grossberg neural network with time-varying delays [J].
Cao, J ;
Liang, JL .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 296 (02) :665-685
[6]   Global asymptotic stability of a general class of recurrent neural networks with time-varying delays [J].
Cao, J ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :34-44
[7]   A note on stability of analog neural networks with time delays [J].
Cao, YJ ;
Wu, QH .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1996, 7 (06) :1533-1535
[8]   Delay-dependent exponential stability of neural networks with variable delays [J].
Chen, WH ;
Guan, ZH ;
Lu, XM .
PHYSICS LETTERS A, 2004, 326 (5-6) :355-363
[9]   Neurocomputing with time delay analysis for solving convex quadratic programming problems [J].
Chen, YH ;
Fang, SC .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2000, 11 (01) :230-240
[10]   STABILITY IN ASYMMETRIC HOPFIELD NETS WITH TRANSMISSION DELAYS [J].
GOPALSAMY, K ;
HE, XZ .
PHYSICA D-NONLINEAR PHENOMENA, 1994, 76 (04) :344-358
1234