Interval time-varying delay stability for neural networks

被引：9

作者：

Souza, Fernando de Oliveira ^{[2
]}

Palhares, Reinaldo Martinez ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Elect Engn, BR-31270010 Belo Horizonte, MG, Brazil

[2] Univ Fed Sao Joao del Rei, BR-36420000 Ouro Branco, MG, Brazil

来源：

NEUROCOMPUTING | 2010年 / 73卷 / 13-15期

关键词：

Stability analysis; Neural networks; Interval time-delay; DEPENDENT STABILITY; ASYMPTOTIC STABILITY; CRITERIA;

D O I：

10.1016/j.neucom.2010.04.002

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper presents a new linear matrix inequality (LMI) stability criterion for continuous-time artificial neural networks (ANN) with interval time-varying delay. The varying-time delay is taken as composition of a nominal positive value subject to a time-varying perturbation. The methodology is based on Gu's discretization technique and a strategy that decouples the system matrices from the Lyapunov functional matrices. Two numerical examples are performed to support the theoretical predictions. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2789 / 2792

页数：4

共 13 条

[1] HOW DELAYS AFFECT NEURAL DYNAMICS AND LEARNING [J].

BALDI, P ;

ATIYA, AF .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (04) :612-621

[2] A new Lyapunov technique for robust control of systems with uncertain non-small delays [J].

Fridman, Emilia .

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2006, 23 (02) :165-179

[3]

GU K., 2003, CONTROL ENGN SER BIR

[4] Stability analysis for neural networks with time-varying interval delay [J].

He, Yong ;

Liu, G. P. ;

Rees, D. ;

Wu, Min .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (06) :1850-1854

[5] New delay-dependent stability criteria for neural networks with time-varying delay [J].

He, Yong ;

Liu, Guoping ;

Rees, D. .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (01) :310-314

[6] NEURAL NETWORKS AND PHYSICAL SYSTEMS WITH EMERGENT COLLECTIVE COMPUTATIONAL ABILITIES [J].

HOPFIELD, JJ .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1982, 79 (08) :2554-2558

[7] 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

[8] Delay-Interval-dependent stability of recurrent neural networks with time-varying delay [J].

Li, Chuandong ;

Feng, Gang .

NEUROCOMPUTING, 2009, 72 (4-6) :1179-1183

[9] Delay-dependent stability for neural networks with time-varying delay [J].

Liu, Hailin ;

Chen, Guohua .

CHAOS SOLITONS & FRACTALS, 2007, 33 (01) :171-177

[10] Exponential stability of recurrent neural networks with both time-varying delays and general activation functions via LMI approach [J].

Song, Qiankun .

NEUROCOMPUTING, 2008, 71 (13-15) :2823-2830

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