Exponential stability analysis of neural networks with multiple time varying delays

被引：0

作者：

Wang Zhanshan ^{[1
]}

Mang Huaguang

机构：

[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China

[2] Shenyang Ligong Univ, Dept Informat Engn, Shenyang 110168, Peoples R China

来源：

CHINESE JOURNAL OF ELECTRONICS | 2006年 / 15卷 / 04期

关键词：

recurrent neural networks; multiple time delays; exponential stability; linear matrix inequality (LMI);

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Without assuming the boundedness, strict monotonicity and differentiability of the activation function, global exponential stability was investigated for a class of neural networks with multiple time varying delays. A new sufficient condition is derived to guarantee the uniqueness and global exponential stability of the equilibrium point via linear matrix inequality technique. The proposed stability criterion imposes constraints on the self-feedback matrix and interconnected matrices, which can be conveniently verified. Comparisons are made with some previous results, which shows the effectiveness of the obtained result.

引用

页码：649 / 653

页数：5

共 16 条

[1] Global asymptotic stability of a general class of recurrent neural networks with time-varying delays [J].

Cao, J ;

Wang, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :34-44

[2] Trends in agent-based computational modeling of macroeconomics [J].

Chen, SH .

NEW GENERATION COMPUTING, 2005, 23 (01) :3-11

[3] 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

[4] On global asymptotic stability of recurrent neural networks with time-varying delays [J].

Huang, H ;

Cao, JD .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 142 (01) :143-154

[5]

Ji Ce, 2005, Acta Electronica Sinica, V33, P115

[6] On the global convergence of a class of functional differential equations with applications in neural network theory [J].

Joy, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 232 (01) :61-81

[7] LMI-Based approach for asymptotically stability analysis of delayed neural networks [J].

Liao, XF ;

Chen, GR ;

Sanchez, EN .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (07) :1033-1039

[8] Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach [J].

Liao, XF ;

Chen, GR ;

Sanchez, EN .

NEURAL NETWORKS, 2002, 15 (07) :855-866

[9]

Liao Xiao-Xin, 2000, Acta Electronica Sinica, V28, P87

[10]

Lu Wenlian, 2003, Int J Neural Syst, V13, P193, DOI 10.1142/S0129065703001534

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