Complete Stability Analysis of Complex-Valued Neural Networks with Time Delays and Impulses

被引：69

作者：

Rakkiyappan, R. ^{[1
]}

Velmurugan, G. ^{[1
]}

Li, Xiaodi ^{[2
]}

机构：

[1] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

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

来源：

NEURAL PROCESSING LETTERS | 2015年 / 41卷 / 03期

关键词：

Complex-valued neural networks; Impulsive effects; Time delays; Multistability; Linear matrix inequality (LMI); GLOBAL EXPONENTIAL STABILITY; ASSOCIATIVE MEMORY; VARYING DELAYS; ACTIVATION FUNCTIONS; MULTISTABILITY;

D O I：

10.1007/s11063-014-9349-6

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we extensively study the analysis of complete stability of complex-valued neural networks with time delay and impulsive effects. Using stability theory, impulsive effects and by constructing appropriate Lyapunov-Krasovskii functional, some sufficient conditions for the existence and complete stability of complex-valued neural networks with time delay and impulsive effects are derived in the form of complex-valued linear matrix inequality (LMIs) as well as real-valued LMIs. Finally, four numerical examples are given to establish the effectiveness of our theoretical results via standard numerical software.

引用

页码：435 / 468

页数：34

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