Synchronization stability of delayed discrete-time complex dynamical networks with randomly changing coupling strength

被引：3

作者：

Park, M. J. ^{[1
]}

Kwon, O. M. ^{[1
]}

Park, Ju H. ^{[2
]}

Lee, S. M. ^{[3
]}

Cha, E. J. ^{[4
]}

机构：

[1] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 361763, South Korea

[2] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea

[3] Daegu Univ, Sch Elect Engn, Gyongsan 712714, South Korea

[4] Chungbuk Natl Univ, Sch Med, Dept Biomed Engn, Cheongju 361763, South Korea

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

基金：

新加坡国家研究基金会;

关键词：

HOPFIELD NEURAL-NETWORKS; VARYING DELAYS; STATE ESTIMATION; SYSTEMS; INEQUALITY; CRITERIA;

D O I：

10.1186/1687-1847-2012-208

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses a delay-dependent synchronization stability problem for discrete-time complex dynamical networks with interval time-varying delays and randomly changing coupling strength. The randomly changing coupling strength is considered with the concept of binomial distribution. By constructing a suitable Lyapunov-Krasovskii functional and utilizing reciprocally convex approach and Finsler's lemma, the proposed synchronization stability criteria for the networks are established in terms of linear matrix inequalities which can be easily solved by various effective optimization algorithms. The networks are represented by use of the Kronecker product technique. The effectiveness of the proposed methods will be verified via numerical examples.

引用

页数：17

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