A synchronization approach of delay chaotic neural networks

被引：0

作者：

Qiao, Zong-Min ^{[1
]}

Cheng, Jia-Xing ^{[1
]}

Song, Jie ^{[1
]}

机构：

[1] Anhui Univ, Minist Educ, Key Lab Intelligent Comp & Signal Proc, Hefei 230039, Peoples R China

来源：

PROCEEDINGS OF 2007 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7 | 2007年

关键词：

chaotic system; delay; synchronization;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, global synchronization is discussed for chaotic neural networks time-varying delay. An effective synchronization law in matrix inequality form has been derived for time-varying delayed chaotic neural networks based on Lyapunov method and LMI technique. The advantage of the proposed approach can be performed efficiently via numerical algorithms such as the interior-point algorithms for solving LMIs. Moreover, one can get two less conservative controller gain matrixes simultaneous by solving a LMI. Numerical simulations are carried out to demonstrate the effectiveness of the established synchronization laws.

引用

页码：334 / 339

页数：6

共 22 条

[1]

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

[2] Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays [J].

Cao, JD ;

Wang, J .

NEURAL NETWORKS, 2004, 17 (03) :379-390

[3] Global exponential stability of Hopfield neural networks [J].

Cao, JD .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2001, 32 (02) :233-236

[4] Global synchronization of coupled delayed neural networks and applications to chaotic CNN models [J].

Chen, GR ;

Zhou, J ;

Liu, ZR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (07) :2229-2240

[5] Exponential synchronization of a class of chaotic neural networks [J].

Cheng, CJ ;

Liao, TL ;

Hwang, CC .

CHAOS SOLITONS & FRACTALS, 2005, 24 (01) :197-206

[6] 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

[7] Existence and stability of periodic solutions for Hopfield neural network equations with periodic input [J].

Dong, QX ;

Matsui, K ;

Huang, XK .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 49 (04) :471-479

[8]

Gahinet P., 1995, LMI Control Toolbox

[9] STRANGE ATTRACTORS IN DELAYED CELLULAR NEURAL NETWORKS [J].

GILLI, M .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1993, 40 (11) :849-853

[10] Chaotic attractors in delayed neural networks [J].

Lu, HT .

PHYSICS LETTERS A, 2002, 298 (2-3) :109-116

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