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
Arik, S
[J]. 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
Cao, JD
[J]. PHYSICS LETTERS A, 2000, 270 (3-4) : 157 - 163
[7] Mean square exponential stability of uncertain stochastic delayed neural networks
Chen, Wu-Hua
Lu, Xiaomei
[J]. PHYSICS LETTERS A, 2008, 372 (07) : 1061 - 1069
[8] Novel delay-dependent robust stability criterion of delayed cellular neural networks
Cho, Hyun J.
Park, Ju H.
[J]. CHAOS SOLITONS & FRACTALS, 2007, 32 (03) : 1194 - 1200
[9] CELLULAR NEURAL NETWORKS - THEORY
CHUA, LO
YANG, L
[J]. 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
COHEN, MA
GROSSBERG, S
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05): : 815 - 826

← 1 2 3 4 →