Passivity analysis of impulsive coupled reaction-diffusion neural networks with and without time-varying delay

被引：23

作者：

Wei, Pu-Chong ^{[1
]}

Wang, Jin-Liang ^{[1
]}

Huang, Yan-Li ^{[1
]}

Xu, Bei-Bei ^{[1
]}

Ren, Shun-Yan ^{[2
]}

机构：

[1] Tianjin Polytech Univ, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China

[2] Tianjin Polytech Univ, Sch Mech Engn, Tianjin 300387, Peoples R China

来源：

NEUROCOMPUTING | 2015年 / 168卷

基金：

美国国家科学基金会;

关键词：

Coupled reaction-diffusion neural networks; Impulsive effects; Time-varying delay; Input strict passivity; Output strict passivity; NONLINEAR-SYSTEMS; SYNCHRONIZATION CONTROL; STABILITY ANALYSIS; ARRAY; STRATEGIES; TERMS;

D O I：

10.1016/j.neucom.2015.06.021

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 respectively investigate the input strict passivity and output strict passivity of impulsive coupled reaction-diffusion neural networks with and without time-varying delay. By constructing suitable Lyapunov functionals and utilizing some inequality techniques, several input strict passivity and output strict passivity conditions are derived for the impulsive coupled reaction-diffusion neural networks with and without time-varying delay. Finally, two numerical examples are given to illustrate the correctness and effectiveness of the proposed results. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：13 / 22

页数：10

共 39 条

[1] Passivity as a design tool for group coordination [J].

Arcak, Murat .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (08) :1380-1390

[2] An improved robust stability result for uncertain neural networks with multiple time delays [J].

Arik, Sabri .

NEURAL NETWORKS, 2014, 54 :1-10

[3] Global asymptotic stability of stochastic BAM neural networks with distributed delays and reaction-diffusion terms [J].

Balasubramaniam, P. ;

Vidhya, C. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (12) :3458-3466

[4] PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].

BYRNES, CI ;

ISIDORI, A ;

WILLEMS, JC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1228-1240

[5] Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays [J].

Cao, Jinde ;

Wan, Ying .

NEURAL NETWORKS, 2014, 53 :165-172

[6] Robust stability analysis of a class of neural networks with discrete time delays [J].

Faydasicok, Ozlem ;

Arik, Sabri .

NEURAL NETWORKS, 2012, 29-30 :52-59

[7]

Gray C M, 1994, J Comput Neurosci, V1, P11, DOI 10.1007/BF00962716

[8] STABILITY RESULTS FOR NONLINEAR FEEDBACK-SYSTEMS [J].

HILL, DJ ;

MOYLAN, PJ .

AUTOMATICA, 1977, 13 (04) :377-382

[9] Pattern recognition via synchronization in phase-locked loop neural networks [J].

Hoppensteadt, FC ;

Izhikevich, EM .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2000, 11 (03) :734-738

[10] Impulsive Control and Synchronization for Delayed Neural Networks With Reaction-Diffusion Terms [J].

Hu, Cheng ;

Jiang, Haijun ;

Teng, Zhidong .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (01) :67-81

← 1 2 3 4 →