ANALYSIS ON GLOBAL STABILITY OF STOCHASTIC NEURAL NETWORKS OF NEUTRAL TYPE

被引:35
作者
Park, Ju H. [1 ]
Kwon, O. M. [2 ]
机构
[1] Yeungnam Univ, Dept Elect Engn, Robust Control & Nonlinear Dynam Lab, Kyongsan 712749, South Korea
[2] Chungbuk Natl Univ, Sch Elect & Comp Engn, Cheongju 361763, South Korea
来源
MODERN PHYSICS LETTERS B | 2008年 / 22卷 / 32期
关键词
Stochastic neural networks; neutral delay; linear matrix inequality; Lyapunov method;
D O I
10.1142/S0217984908017680
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this paper, the problem of global asymptotic stability of stochastic neural networks of neutral type is considered. Based on the Lyapunov stability theory, a new delay-dependent stability criterion for the network is derived in terms of LMI (linear matrix inequality). A numerical example is given to show the effectiveness of the proposed method.
引用
收藏
页码:3159 / 3170
页数:12
相关论文
共 33 条
[11]  
Gahinet P., 1995, LMI Control Toolbox
[12]   DELAY-INDEPENDENT STABILITY IN BIDIRECTIONAL ASSOCIATIVE MEMORY NETWORKS [J].
GOPALSAMY, K ;
HE, XZ .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (06) :998-1002
[13]   An integral inequality in the stability problem of time-delay systems [J].
Gu, KQ .
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810
[14]   NEURAL NETWORKS AND PHYSICAL SYSTEMS WITH EMERGENT COLLECTIVE COMPUTATIONAL ABILITIES [J].
HOPFIELD, JJ .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1982, 79 (08) :2554-2558
[15]  
Kolmanovskii V., 1999, INTRO THEORY APPL FU
[16]   BIDIRECTIONAL ASSOCIATIVE MEMORIES [J].
KOSKO, B .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1988, 18 (01) :49-60
[17]   ADAPTIVE BIDIRECTIONAL ASSOCIATIVE MEMORIES [J].
KOSKO, B .
APPLIED OPTICS, 1987, 26 (23) :4947-4960
[18]  
Mao X., 2007, STOCHASTIC DIFFERENT
[19]   Exponential stability of continuous-time and discrete-time cellular neural networks with delays [J].
Mohamad, S ;
Gopalsamy, K .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) :17-38
[20]   A novel criterion for global asymptotic stability of BAM neural networks with tine delays [J].
Park, JH .
CHAOS SOLITONS & FRACTALS, 2006, 29 (02) :446-453