Novel Results on Stability Analysis of Neutral-type Neural Networks with Additive Time-varying Delay Components and Leakage Delay

被引：40

作者：

Samidurai, R. ^{[1
]}

Rajavel, S. ^{[1
]}

Sriraman, R. ^{[1
]}

Cao, Jinde ^{[2
,3
,4
]}

Alsaedi, Ahmed ^{[5
]}

Alsaadi, Fuad E. ^{[6
]}

机构：

[1] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India

[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[3] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China

[4] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Shandong, Peoples R China

[5] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[6] King Abdulaziz Univ, Dept Elect & Comp Engn, Fac Engn, Jeddah 21589, Saudi Arabia

来源：

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

关键词：

Additive time-varying delays; linear matrix inequality; Lyapunov-Krasovskii functional; neural networks; neutral-type; DEPENDENT STABILITY; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; INTEGRAL INEQUALITY; SYSTEMS; CRITERIA;

D O I：

10.1007/s12555-016-9483-1

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The objective of this paper is to analyze the stability analysis of neutral-type neural networks with additive time-varying delay and leakage delay. By constructing a suitable augmented Lyapunov-Krasovskii functional with triple and four integral terms, some new stability criteria are established in terms of linear matrix inequalities, which is easily solved by various convex optimization techniques. More information of the lower and upper delay bounds of time-varying delays are used to derive the stability criteria, which can lead less conservative results. The obtained conditions are expressed with linear matrix inequalities (LMIs) whose feasible can be checked easily by MATLAB LMI control toolbox. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method.

引用

页码：1888 / 1900

页数：13

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