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

页码：3159 / 3170

页数：12

共 33 条

[1]

[Anonymous], 2001, NEURAL NETWORKS COMP

[2] 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

[3]

ARIK S, 2004, IEEE T CIRCUITS-I, V47, P571

[4]

Arnold L., 1972, Stochastic Differential Equations: Theory and Applications

[5]

Boy S., 1994, Linear MatrixInequalities in System and Control Theory

[6] Periodic oscillation and exponential stability of delayed CNNs [J].

Cao, JD .

PHYSICS LETTERS A, 2000, 270 (3-4) :157-163

[7] Mean square exponential stability of uncertain stochastic delayed neural networks [J].

Chen, Wu-Hua ;

Lu, Xiaomei .

PHYSICS LETTERS A, 2008, 372 (07) :1061-1069

[8] Novel delay-dependent robust stability criterion of delayed cellular neural networks [J].

Cho, Hyun J. ;

Park, Ju H. .

CHAOS SOLITONS & FRACTALS, 2007, 32 (03) :1194-1200

[9] CELLULAR NEURAL NETWORKS - THEORY [J].

CHUA, LO ;

YANG, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272

[10] ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].

COHEN, MA ;

GROSSBERG, S .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826

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