Power-rate global stability of dynamical systems with unbounded time-varying delays

被引：64

作者：

Chen, Tianping ^{[1
]}

Wang, Lili ^{[1
]}

机构：

[1] Fudan Univ, Inst Math, Chinese Minist Educ, Key Lab Nonlinear Sci, Shanghai 200433, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2007年 / 54卷 / 08期

基金：

中国国家自然科学基金;

关键词：

equilibrium point; globally power stability; linear matrix inequality (LMI); unbounded time-varying delays;

D O I：

10.1109/TCSII.2007.898476

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：

In this brief, dynamical systems with unbounded time-varying delays are investigated. Two approaches are developed to derive sufficient conditions ensuring the existence, uniqueness of the equilibrium and its global stability. Moreover, different from globally asymptotical stability and globally exponential stability, a new concept of stability, global power stability, is proposed. Under mild conditions, we prove that the dynamical systems with unbounded time-varying delays are globally power stable.

引用

页码：705 / 709

页数：5

共 13 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] Global asymptotic and robust stability of recurrent neural networks with time delays [J].

Cao, JD ;

Wang, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (02) :417-426

[3] A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach [J].

Cao, JD ;

Ho, DWC .

CHAOS SOLITONS & FRACTALS, 2005, 24 (05) :1317-1329

[4] Robust global exponential stability of Cohen-Grossberg neural networks with time delays [J].

Chen, TP ;

Rong, LB .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (01) :203-206

[5] Global exponential stability of delayed Hopfield neural networks [J].

Chen, TP .

NEURAL NETWORKS, 2001, 14 (08) :977-980

[6]

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

[7] Global robust stability of delayed neural networks: An LMI approach [J].

Singh, V .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (01) :33-36

[8] A new LMI condition for delay-dependent asymptotic stability of delayed Hopfield neural networks [J].

Xu, SY ;

Lam, J ;

Ho, DWC .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (03) :230-234

[9] A new approach to exponential stability analysis of neural networks with time-varying delays [J].

Xu, SY ;

Lam, J .

NEURAL NETWORKS, 2006, 19 (01) :76-83

[10] Convergence analysis of cellular neural networks with unbounded delay [J].

Yi, Z ;

Heng, PA ;

Leung, KS .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (06) :680-687

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