New Stability Analysis for Generalized Neural Networks with Interval Time-varying Delays

被引：9

作者：

Liu, Yanmin ^{[1
]}

Tian, Junkang ^{[1
]}

Ren, Zerong ^{[1
]}

机构：

[1] Zunyi Normal Coll, Sch Math, Zunyi 563002, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2017年 / 15卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Interval time-varying delay; linear matrix inequalities (LMIs); neural networks; stability analysis; GLOBAL ASYMPTOTIC STABILITY; EXPONENTIAL STABILITY; ROBUST STABILITY; LMI APPROACH; CRITERIA; DISCRETE;

D O I：

10.1007/s12555-016-0285-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the problem of delay-dependent stability for neural networks with interval time varying delays. First, we divided delay interval into two parts. Second, a new Lyapunov-Krasovskii functional is constructed, and relationships between the augmented state vectors have been fully considered, which may yield less conservative results. Third, based on free-matrix-based integral inequality method and reciprocally convex technique, some new less conservative delay-dependent stability criteria have been obtained by combining with the new Lyapunov-Krasovskii functional. Finally, two numerical examples are given to show the effectiveness of the derived conditions over the existing ones.

引用

页码：1600 / 1610

页数：11

共 49 条

[1]

[Anonymous], INT J CONTROL AUTOMA

[2] Global asymptotic stability of a larger class of neural networks with constant time delay [J].

Arik, S .

PHYSICS LETTERS A, 2003, 311 (06) :504-511

[3] New stability criteria for recurrent neural networks with interval time-varying delay [J].

Bai, Yong-Qiang ;

Chen, Jie .

NEUROCOMPUTING, 2013, 121 :179-184

[4]

Boyd S., 1994, SIAM STUDIES APPL MA

[5] 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

[6] CELLULAR NEURAL NETWORKS - APPLICATIONS [J].

CHUA, LO ;

YANG, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1273-1290

[7] Stability criterion for delayed neural networks via Wirtinger-based multiple integral inequality [J].

Ding, Sanbo ;

Wang, Zhanshan ;

Wu, Yanming ;

Zhang, Huaguang .

NEUROCOMPUTING, 2016, 214 :53-60

[8] New Delay-Dependent Stability Criteria for Neural Networks With Time-Varying Delay Using Delay-Decomposition Approach [J].

Ge, Chao ;

Hua, Changchun ;

Guan, Xinping .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2014, 25 (07) :1378-1383

[9]

Hale J.K., 1977, THEORY FUNCTIONAL DI

[10] A discrete delay decomposition approach to stability of linear retarded and neutral systems [J].

Han, Qing-Long .

AUTOMATICA, 2009, 45 (02) :517-524

← 1 2 3 4 5 →