New delay-dependent stability criteria for neutral-type neural networks with mixed random time-varying delays

被引：59

作者：

Shi, Kaibo ^{[1
,2
]}

Zhong, Shouming ^{[4
,5
]}

Zhu, Hong ^{[1
]}

Liu, Xinzhi ^{[2
,3
]}

Zeng, Yong ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

[3] Univ Waterloo, Dept Civil & Environm Engn, Waterloo, ON N2L 3G1, Canada

[4] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China

[5] Univ Elect Sci & Technol China, Minist Educ, Key Lab Neuroinformat, Chengdu 611731, Peoples R China

来源：

NEUROCOMPUTING | 2015年 / 168卷

基金：

中国国家自然科学基金;

关键词：

Neutral-type neural networks; Stability analysis; Terms-Quadratic convex combination; Mixed random time-varying delays; Linear matrix inequality; EXPONENTIAL STATE ESTIMATION; DISTRIBUTED DELAYS; ASYMPTOTIC STABILITY; PASSIVITY ANALYSIS; DISCRETE; SYSTEMS;

D O I：

10.1016/j.neucom.2015.05.035

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This study is concerned with the problem of stability analysis of neutral-type neural networks with mixed random time-varying delays. Firstly, by using a novel and resultful mathematical approach and considering the sufficient information of neuron activation functions, improved delay-dependent stability results are formulated in terms of linear matrix inequalities (LMIs). Secondly, in order to obtain less conservative delay-dependent stability criteria, an augmented novel Lyapunov-Krasovskii functional (LKF) that contains triple and quadruple-integral terms is constructed. Moreover, our derivation makes full use of the idea of second-order convex combination and the property of quadratic convex function, which plays a key role in reducing further the conservatism of conditions. Finally, four numerical examples are presented to illustrate the effectiveness and advantages of the theoretical results. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：896 / 907

页数：12

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