Delay-Dependent Stability Criteria for Reaction-Diffusion Neural Networks With Time-Varying Delays

被引：91

作者：

Ma, Qian ^{[1
]}

Feng, Gang ^{[2
]}

Xu, Shengyuan ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China

[2] City Univ Hong Kong, Dept Mech & Biomed Engn, Kowloon, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2013年 / 43卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Asymptotic stability; delay-dependent stability criteria; Lyapunov-Krasovskii functional; reaction-diffusion neural networks; GLOBAL EXPONENTIAL STABILITY; ROBUST STABILITY; ASYMPTOTIC STABILITY;

D O I：

10.1109/TSMCB.2012.2235178

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 studies the global asymptotic stability problem of a class of reaction-diffusion neural networks with time-varying delays. To overcome the difficulty caused by the partial differential term, a novel Lyapunov-Krasovskii functional is proposed, and a partial differential equation technique together with a linear operator approach are also applied to obtain the delay-dependent stability criteria, which are less conservative than the existing results. Finally, simulation examples are given to verify and illustrate the theoretical analysis.

引用

页码：1913 / 1920

页数：8

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